﻿59:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Ecuación de la recta formada por la intersección :@0.108233:0.097489:0.502549:0.097489:0.502549:0.079630:0.108233:0.079630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dos planos :@0.108233:0.115775:0.223029:0.115775:0.223029:0.097916:0.108233:0.097916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos este tema a través de ejemplos.:@0.108233:0.132440:0.415009:0.132440:0.415009:0.115942:0.108233:0.115942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.108233:0.150672:0.127017:0.150672:0.127017:0.133481:0.108233:0.133481:0.000000:0.000000:0.000000
Sean :@0.131968:0.149964:0.169766:0.149964:0.169766:0.133466:0.131968:0.133466:0.000000:0.000000:0.000000:0.000000:0.000000
∏ , ∏ , :@0.169775:0.150001:0.219007:0.150001:0.219007:0.133338:0.169775:0.133338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.182423:0.153311:0.187425:0.153311:0.187425:0.143597:0.182423:0.143597:0.000000
2:@0.207039:0.153311:0.212041:0.153311:0.212041:0.143597:0.207039:0.143597:0.000000
los planos definidos como::@0.219007:0.149964:0.408515:0.149964:0.408515:0.133466:0.219007:0.133466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.121764:0.176543:0.126469:0.176543:0.126469:0.166994:0.121764:0.166994:0.000000
=:@0.129879:0.174324:0.140221:0.174324:0.140221:0.157826:0.129879:0.157826:0.000000
x:@0.151871:0.174440:0.159024:0.174440:0.159024:0.157971:0.151871:0.157971:0.000000
=( , , ):@0.162491:0.174324:0.221444:0.174324:0.221444:0.157826:0.162491:0.157826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.181478:0.174440:0.215693:0.174440:0.215693:0.157971:0.181478:0.157971:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.251106:0.166288:0.255811:0.166288:0.255811:0.156740:0.251106:0.156740:0.000000
|3:@0.258971:0.174324:0.273516:0.174324:0.273516:0.157826:0.258971:0.157826:0.000000:0.000000
x:@0.274456:0.174440:0.281609:0.174440:0.281609:0.157971:0.274456:0.157971:0.000000
2 =0 ,:@0.297192:0.174324:0.352025:0.174324:0.352025:0.157826:0.297192:0.157826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.307054:0.174440:0.314409:0.174440:0.314409:0.157971:0.307054:0.157971:0.000000
{:@0.142053:0.180456:0.150901:0.180456:0.150901:0.146921:0.142053:0.146921:0.000000
}:@0.338970:0.180456:0.347819:0.180456:0.347819:0.146921:0.338970:0.146921:0.000000
 :@0.354949:0.184909:0.359091:0.184909:0.359091:0.168412:0.354949:0.168412:0.000000
2:@0.372118:0.177070:0.376858:0.177070:0.376858:0.167521:0.372118:0.167521:0.000000
=:@0.381403:0.174851:0.391819:0.174851:0.391819:0.158353:0.381403:0.158353:0.000000
x:@0.403554:0.174967:0.410758:0.174967:0.410758:0.158498:0.403554:0.158498:0.000000
=( , , ):@0.414249:0.174851:0.473627:0.174851:0.473627:0.158353:0.414249:0.158353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.433373:0.174967:0.467834:0.174967:0.467834:0.158498:0.433373:0.158498:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.503503:0.166815:0.508242:0.166815:0.508242:0.157266:0.503503:0.157266:0.000000
|:@0.511425:0.174851:0.516252:0.174851:0.516252:0.158353:0.511425:0.158353:0.000000
x z:@0.519000:0.174967:0.549413:0.174967:0.549413:0.158498:0.519000:0.158498:0.000000:0.000000:0.000000
+:@0.529286:0.175400:0.539480:0.175400:0.539480:0.156560:0.529286:0.156560:0.000000
=0 .:@0.552551:0.174851:0.586432:0.174851:0.586432:0.158353:0.552551:0.158353:0.000000:0.000000:0.000000:0.000000
{:@0.393664:0.180984:0.402576:0.180984:0.402576:0.147449:0.393664:0.147449:0.000000
}:@0.573990:0.180984:0.582902:0.180984:0.582902:0.147449:0.573990:0.147449:0.000000
 :@0.108233:0.196708:0.112375:0.196708:0.112375:0.180210:0.108233:0.180210:0.000000
Probemos que :@0.131968:0.196708:0.239736:0.196708:0.239736:0.180210:0.131968:0.180210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.257386:0.200184:0.262304:0.200184:0.262304:0.190635:0.257386:0.190635:0.000000
2:@0.297279:0.200184:0.302196:0.200184:0.302196:0.190635:0.297279:0.190635:0.000000
 es una recta. :@0.306754:0.196708:0.403714:0.196708:0.403714:0.180210:0.306754:0.180210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108226:0.234590:0.112368:0.234590:0.112368:0.218093:0.108226:0.218093:0.000000
x:@0.182475:0.228128:0.189950:0.228128:0.189950:0.211659:0.182475:0.211659:0.000000
=( , , ):@0.193573:0.228012:0.255183:0.228012:0.255183:0.211514:0.193573:0.211514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.213416:0.228128:0.249173:0.228128:0.249173:0.211659:0.213416:0.211659:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.286130:0.230231:0.291048:0.230231:0.291048:0.220682:0.286130:0.220682:0.000000
2:@0.326023:0.230231:0.330940:0.230231:0.330940:0.220682:0.326023:0.220682:0.000000
( , , ):@0.359212:0.228012:0.407684:0.228012:0.407684:0.211514:0.359212:0.211514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.365917:0.228128:0.401673:0.228128:0.401673:0.211659:0.365917:0.211659:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.438629:0.230231:0.443546:0.230231:0.443546:0.220682:0.438629:0.220682:0.000000
( , , ):@0.460564:0.228012:0.509036:0.228012:0.509036:0.211514:0.460564:0.211514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.467269:0.228128:0.503025:0.228128:0.503025:0.211659:0.467269:0.211659:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.540453:0.230231:0.545371:0.230231:0.545371:0.220682:0.540453:0.220682:0.000000
 :@0.108233:0.267660:0.112375:0.267660:0.112375:0.251162:0.108233:0.251162:0.000000
3:@0.178518:0.257877:0.187014:0.257877:0.187014:0.241379:0.178518:0.241379:0.000000
x:@0.187996:0.257993:0.195471:0.257993:0.195471:0.241524:0.187996:0.241524:0.000000
2 =0,:@0.211760:0.257877:0.257900:0.257877:0.257900:0.241379:0.211760:0.241379:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.222066:0.257993:0.229753:0.257993:0.229753:0.241524:0.222066:0.241524:0.000000
x z:@0.188969:0.280664:0.220525:0.280664:0.220525:0.264195:0.188969:0.264195:0.000000:0.000000:0.000000
+:@0.199642:0.281185:0.210218:0.281185:0.210218:0.264904:0.199642:0.264904:0.000000
=0.:@0.223781:0.280548:0.248518:0.280548:0.248518:0.264051:0.223781:0.264051:0.000000:0.000000:0.000000
 Resolvemos el sistema de ecuaciones lineales. :@0.271021:0.267660:0.599509:0.267660:0.599509:0.251162:0.271021:0.251162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108230:0.304227:0.112372:0.304227:0.112372:0.287730:0.108230:0.287730:0.000000
De la primera ecuación se tiene x=   y. Reemplazamos en la se-:@0.131964:0.304227:0.595806:0.304228:0.595806:0.287731:0.131964:0.287730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.390138:0.299181:0.398634:0.299181:0.398634:0.282683:0.390138:0.282683:0.000000
3  :@0.390138:0.313018:0.404048:0.313018:0.404048:0.296521:0.390138:0.296521:0.000000:0.000000:0.000000
gunda, z = –x = –  y, luego,:@0.131980:0.323444:0.331680:0.323445:0.331680:0.306947:0.131980:0.306947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.259381:0.318398:0.267877:0.318398:0.267877:0.301901:0.259381:0.301901:0.000000
3  :@0.259381:0.332236:0.273290:0.332236:0.273290:0.315738:0.259381:0.315738:0.000000:0.000000:0.000000
x:@0.229777:0.351599:0.237252:0.351599:0.237252:0.335130:0.229777:0.335130:0.000000
=( , , )=:@0.240875:0.351483:0.316029:0.351483:0.316029:0.334985:0.240875:0.334985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.260718:0.351599:0.296475:0.351599:0.296475:0.335130:0.260718:0.335130:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.329765:0.342215:0.338261:0.342215:0.338261:0.325717:0.329765:0.325717:0.000000
3:@0.329977:0.362414:0.338473:0.362414:0.338473:0.345916:0.329977:0.345916:0.000000
y y:@0.342594:0.351599:0.365038:0.351599:0.365038:0.335130:0.342594:0.335130:0.000000:0.000000:0.000000
, ,:@0.352073:0.351483:0.369585:0.351483:0.369585:0.334985:0.352073:0.334985:0.000000:0.000000:0.000000
2:@0.384633:0.342210:0.393129:0.342210:0.393129:0.325713:0.384633:0.325713:0.000000
3:@0.384844:0.362409:0.393340:0.362409:0.393340:0.345912:0.384844:0.345912:0.000000
y:@0.397458:0.351599:0.405145:0.351599:0.405145:0.335130:0.397458:0.335130:0.000000
= (2,3, 2),:@0.418452:0.351483:0.503026:0.351483:0.503026:0.334985:0.418452:0.334985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.434674:0.342330:0.442360:0.342330:0.442360:0.325862:0.434674:0.325862:0.000000
3:@0.433884:0.362414:0.442380:0.362414:0.442380:0.345916:0.433884:0.345916:0.000000
1:@0.194726:0.398152:0.199398:0.398152:0.199398:0.388619:0.194726:0.388619:0.000000
2:@0.235035:0.398152:0.239707:0.398152:0.239707:0.388619:0.235035:0.388619:0.000000
=:@0.244197:0.395981:0.255082:0.395981:0.255082:0.379513:0.244197:0.379513:0.000000
y:@0.270745:0.386713:0.278432:0.386713:0.278432:0.370244:0.270745:0.370244:0.000000
3:@0.270379:0.406912:0.278451:0.406912:0.278451:0.390444:0.270379:0.390444:0.000000
(2,3, 2) y:@0.281994:0.395981:0.352143:0.395981:0.352143:0.379513:0.281994:0.379513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.336191:0.395866:0.341200:0.395866:0.341200:0.379368:0.336191:0.379368:0.000000
= w(2,3, 2) w:@0.396538:0.395981:0.503834:0.395981:0.503834:0.379513:0.396538:0.379513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.485340:0.395866:0.490349:0.395866:0.490349:0.379368:0.485340:0.379368:0.000000
{:@0.409260:0.399249:0.418508:0.399249:0.418508:0.376619:0.409260:0.376619:0.000000
}:@0.535005:0.399249:0.544252:0.399249:0.544252:0.376619:0.535005:0.376619:0.000000
.:@0.545531:0.395981:0.548382:0.395981:0.548382:0.379513:0.545531:0.379513:0.000000
 :@0.550661:0.412211:0.554803:0.412211:0.554803:0.395713:0.550661:0.395713:0.000000
 :@0.108235:0.431441:0.112377:0.431441:0.112377:0.414943:0.108235:0.414943:0.000000
El vector director de esta recta es (2,3, 2):@0.131970:0.431441:0.429355:0.431447:0.429355:0.414950:0.131970:0.414943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.460372:0.423412:0.465289:0.423412:0.465289:0.413863:0.460372:0.413863:0.000000
.  Nota que se ha :@0.467440:0.431447:0.590064:0.431447:0.590064:0.414950:0.467440:0.414950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hecho el cambio de parámetros  =   , :@0.131977:0.450663:0.413190:0.450665:0.413190:0.434167:0.131977:0.434166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.361904:0.450779:0.374118:0.450779:0.374118:0.434310:0.361904:0.434310:0.000000
y:@0.393985:0.445617:0.401806:0.445617:0.401806:0.429119:0.393985:0.429119:0.000000
3  :@0.393985:0.459454:0.407894:0.459454:0.407894:0.442957:0.393985:0.442957:0.000000:0.000000:0.000000
A:@0.428021:0.433047:0.414791:0.433047:0.414791:0.452379:0.428021:0.452379:0.000000
y:@0.429621:0.450781:0.437308:0.450781:0.437308:0.434312:0.429621:0.434312:0.000000
   :@0.437308:0.450665:0.455682:0.450665:0.455682:0.434167:0.437308:0.434167:0.000000:0.000000:0.000000
. :@0.469651:0.450702:0.476617:0.450702:0.476617:0.434039:0.469651:0.434039:0.000000:0.000000
2. :@0.108233:0.492613:0.127017:0.492613:0.127017:0.475421:0.108233:0.475421:0.000000:0.000000:0.000000
Sean :@0.131968:0.491905:0.169766:0.491905:0.169766:0.475407:0.131968:0.475407:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.172395:0.492020:0.181372:0.492020:0.181372:0.475551:0.172395:0.475551:0.000000
=(5, 2,3), =( 3,0,5).:@0.184647:0.491905:0.341446:0.491905:0.341446:0.475407:0.184647:0.475407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.258355:0.492020:0.267621:0.492020:0.267621:0.475551:0.258355:0.475551:0.000000
    = {t (5, –2, 3) l t    } Halla dos planos ∏ , ∏ , :@0.256602:0.491905:0.599909:0.491905:0.599909:0.475407:0.256602:0.475407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.564052:0.495181:0.569006:0.495181:0.569006:0.485563:0.564052:0.485563:0.000000
2:@0.588060:0.495181:0.593013:0.495181:0.593013:0.485563:0.588060:0.485563:0.000000
tal que  =:@0.131975:0.509255:0.211000:0.510513:0.211000:0.494015:0.131975:0.492758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.188248:0.510628:0.197822:0.510628:0.197822:0.494160:0.188248:0.494160:0.000000
1:@0.228401:0.512731:0.233319:0.512731:0.233319:0.503183:0.228401:0.503183:0.000000
2:@0.268292:0.512731:0.273210:0.512731:0.273210:0.503183:0.268292:0.503183:0.000000
.:@0.275569:0.510513:0.278324:0.510513:0.278324:0.494015:0.275569:0.494015:0.000000
 :@0.108233:0.533144:0.112375:0.533144:0.112375:0.516646:0.108233:0.516646:0.000000
 :@0.108233:0.550495:0.112375:0.550495:0.112375:0.533997:0.108233:0.533997:0.000000
De la definición de la recta   se tiene::@0.131968:0.550495:0.396264:0.550495:0.396264:0.533997:0.131968:0.533997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.325524:0.550610:0.335099:0.550610:0.335099:0.534142:0.325524:0.534142:0.000000
 :@0.182404:0.569754:0.186546:0.569754:0.186546:0.553256:0.182404:0.553256:0.000000
x:@0.190265:0.569876:0.197739:0.569876:0.197739:0.553407:0.190265:0.553407:0.000000
=( , , ):@0.201363:0.569760:0.262973:0.569760:0.262973:0.553263:0.201363:0.553263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.221206:0.569876:0.256963:0.569876:0.256963:0.553407:0.221206:0.553407:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.281564:0.569760:0.291351:0.569760:0.291351:0.553263:0.281564:0.553263:0.000000
t:@0.330775:0.569876:0.336439:0.569876:0.336439:0.553407:0.330775:0.553407:0.000000
tal que  = (5, 2,3),:@0.375995:0.569760:0.517572:0.569760:0.517572:0.553263:0.375995:0.553263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.429475:0.569876:0.459400:0.569876:0.459400:0.553407:0.429475:0.553407:0.000000:0.000000:0.000000
entonces,:@0.131971:0.612952:0.200362:0.612952:0.200362:0.596289:0.131971:0.596289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , , )= (5, 2,3)=(5 , 2 ,3 ):@0.207119:0.612915:0.424895:0.612915:0.424895:0.596417:0.207119:0.596417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.213823:0.613030:0.249580:0.613030:0.249580:0.596562:0.213823:0.596562:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.271465:0.613030:0.277129:0.613030:0.277129:0.596562:0.271465:0.596562:0.000000
t:@0.362689:0.613030:0.368353:0.613030:0.368353:0.596562:0.362689:0.596562:0.000000
t t:@0.393493:0.613030:0.418692:0.613030:0.418692:0.596562:0.393493:0.596562:0.000000:0.000000:0.000000
x:@0.472748:0.592167:0.480223:0.592167:0.480223:0.575698:0.472748:0.575698:0.000000
=5 ,:@0.483845:0.592051:0.515132:0.592051:0.515132:0.575553:0.483845:0.575553:0.000000:0.000000:0.000000:0.000000
t:@0.504883:0.592167:0.510547:0.592167:0.510547:0.575698:0.504883:0.575698:0.000000
y:@0.473172:0.613031:0.480859:0.613031:0.480859:0.596562:0.473172:0.596562:0.000000
= 2 ,:@0.484269:0.612915:0.527239:0.612915:0.527239:0.596417:0.484269:0.596418:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.516990:0.613030:0.522654:0.613030:0.522654:0.596562:0.516990:0.596562:0.000000
z:@0.472757:0.635702:0.479403:0.635702:0.479403:0.619233:0.472757:0.619233:0.000000
=3 .:@0.482659:0.635586:0.513638:0.635586:0.513638:0.619089:0.482659:0.619089:0.000000:0.000000:0.000000:0.000000
t:@0.504121:0.635702:0.509785:0.635702:0.509785:0.619233:0.504121:0.619233:0.000000
Eliminemos el parámetro  de estas ecuaciones. De la primera, se :@0.131968:0.654909:0.599817:0.654909:0.599817:0.638411:0.131968:0.638411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 t:@0.311077:0.655024:0.321596:0.655024:0.321596:0.638556:0.311077:0.638556:0.000000:0.000000
tiene :@0.131968:0.675382:0.171674:0.675382:0.171674:0.658885:0.131968:0.658885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t =  ; :@0.174159:0.675498:0.224067:0.675498:0.224067:0.659029:0.174159:0.659029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.204733:0.669194:0.212208:0.669194:0.212208:0.652725:0.204733:0.652725:0.000000
5  :@0.204733:0.682916:0.218642:0.682916:0.218642:0.666418:0.204733:0.666418:0.000000:0.000000:0.000000
reemplazando en la segunda y tercera ecuaciones, :@0.226552:0.675382:0.599868:0.675382:0.599868:0.658885:0.226552:0.658885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108224:0.692733:0.112366:0.692733:0.112366:0.676236:0.108224:0.676236:0.000000
se obtiene 2  + 5  = 0; 3 – 5  = 0, respectivamente. Se definen los :@0.131959:0.692733:0.599868:0.692733:0.599868:0.676236:0.131959:0.676236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.216937:0.692849:0.224411:0.692849:0.224411:0.676380:0.216937:0.676380:0.000000
y:@0.251036:0.692849:0.258723:0.692849:0.258723:0.676380:0.251036:0.676380:0.000000
x :@0.300259:0.692849:0.311876:0.692849:0.311876:0.676380:0.300259:0.676380:0.000000:0.000000
z:@0.334091:0.692849:0.340737:0.692849:0.340737:0.676380:0.334091:0.676380:0.000000
conjuntos :@0.131959:0.710084:0.207730:0.710084:0.207730:0.693586:0.131959:0.693586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108224:0.769568:0.112366:0.769568:0.112366:0.753070:0.108224:0.753070:0.000000
Los conjuntos :@0.131959:0.769568:0.235780:0.769568:0.235780:0.753070:0.131959:0.753070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ , ∏  representan planos que pasan por el origen. :@0.235955:0.769601:0.600005:0.769601:0.600005:0.752939:0.235955:0.752939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.248601:0.772912:0.253604:0.772912:0.253604:0.763197:0.248601:0.763197:0.000000
2:@0.273385:0.772912:0.278387:0.772912:0.278387:0.763197:0.273385:0.763197:0.000000
Además, :@0.131966:0.790119:0.198355:0.790119:0.198355:0.773457:0.131966:0.773457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.201350:0.790203:0.210924:0.790203:0.210924:0.773734:0.201350:0.773734:0.000000
1:@0.245482:0.792306:0.250400:0.792306:0.250400:0.782757:0.245482:0.782757:0.000000
,:@0.252341:0.790087:0.255095:0.790087:0.255095:0.773590:0.252341:0.773590:0.000000
 esto es, :@0.258675:0.790124:0.318778:0.790124:0.318778:0.773462:0.258675:0.773462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x R:@0.322495:0.790203:0.356727:0.790203:0.356727:0.773734:0.322495:0.773734:0.000000:0.000000:0.000000
x:@0.382175:0.790203:0.389650:0.790203:0.389650:0.773734:0.382175:0.773734:0.000000
1:@0.421491:0.792306:0.426409:0.792306:0.426409:0.782757:0.421491:0.782757:0.000000
.:@0.427616:0.790087:0.430371:0.790087:0.430371:0.773590:0.427616:0.773590:0.000000
En efecto, como:@0.434370:0.790124:0.550472:0.790124:0.550472:0.773462:0.434370:0.773462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108236:0.817768:0.112419:0.817768:0.112419:0.801106:0.108236:0.801106:0.000000
x t:@0.245296:0.817854:0.275197:0.817854:0.275197:0.801385:0.245296:0.801385:0.000000:0.000000:0.000000
= (5,  2, 3)=(5 ,  2 , 3 ):@0.256395:0.817738:0.454187:0.817738:0.454187:0.801240:0.256395:0.801240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.376379:0.817854:0.382043:0.817854:0.382043:0.801385:0.376379:0.801385:0.000000
t:@0.417275:0.817854:0.422939:0.817854:0.422939:0.801385:0.417275:0.801385:0.000000
t:@0.442319:0.817854:0.447983:0.817854:0.447983:0.801385:0.442319:0.801385:0.000000
R:@0.470458:0.817854:0.480033:0.817854:0.480033:0.801385:0.470458:0.801385:0.000000
,:@0.480765:0.817738:0.483520:0.817738:0.483520:0.801240:0.480765:0.801240:0.000000
entonces,:@0.131971:0.842428:0.200362:0.842428:0.200362:0.825765:0.131971:0.825765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.208270:0.841839:0.215745:0.841839:0.215745:0.825370:0.208270:0.825370:0.000000
=(5 ,  2 , 3 ):@0.219945:0.841723:0.323609:0.841723:0.323609:0.825226:0.219945:0.825226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.247012:0.841839:0.252676:0.841839:0.252676:0.825370:0.247012:0.825370:0.000000
t:@0.286696:0.841839:0.292360:0.841839:0.292360:0.825370:0.286696:0.825370:0.000000
t:@0.311741:0.841839:0.317405:0.841839:0.317405:0.825370:0.311741:0.825370:0.000000
1:@0.358152:0.843942:0.363070:0.843942:0.363070:0.834393:0.358152:0.834393:0.000000
.:@0.364277:0.841723:0.367032:0.841723:0.367032:0.825226:0.364277:0.825226:0.000000
 :@0.108233:0.859952:0.112416:0.859952:0.112416:0.843290:0.108233:0.843290:0.000000
La ecuación cartesiana que representa al plano ∏ está definida :@0.131971:0.859952:0.599950:0.859952:0.599950:0.843290:0.131971:0.843290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.494346:0.863261:0.501787:0.863261:0.501787:0.853547:0.494346:0.853547:0.000000:0.000000
como :@0.131981:0.877958:0.177588:0.877958:0.177588:0.861296:0.131981:0.861296:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.181108:0.879297:0.188583:0.879297:0.188583:0.862828:0.181108:0.862828:0.000000
=( , , ):@0.192206:0.879181:0.253816:0.879181:0.253816:0.862683:0.192206:0.862683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.212049:0.879297:0.247806:0.879297:0.247806:0.862828:0.212049:0.862828:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.284815:0.871144:0.289733:0.871144:0.289733:0.861595:0.284815:0.861595:0.000000
,:@0.292617:0.879181:0.295372:0.879181:0.295372:0.862683:0.292617:0.862683:0.000000
 tal que 2  + 5  = 0. Luego, :@0.290625:0.877960:0.480571:0.877960:0.480571:0.861298:0.290625:0.861298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355264:0.878077:0.362814:0.878077:0.362814:0.861444:0.355264:0.861444:0.000000
y:@0.389704:0.878077:0.397468:0.878077:0.397468:0.861444:0.389704:0.861444:0.000000
2(5 ) + 5(:@0.131964:0.895485:0.197129:0.895485:0.197129:0.878822:0.131964:0.878822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.154555:0.895602:0.160276:0.895602:0.160276:0.878968:0.154555:0.878968:0.000000
–2 ) = 10  –10  = 0, que prueba que :@0.196947:0.895448:0.449264:0.895448:0.449264:0.878950:0.196947:0.878950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.215557:0.895564:0.221221:0.895564:0.221221:0.879095:0.215557:0.879095:0.000000
t:@0.260638:0.895564:0.266302:0.895564:0.266302:0.879095:0.260638:0.879095:0.000000
t:@0.297011:0.895564:0.302675:0.895564:0.302675:0.879095:0.297011:0.879095:0.000000
x:@0.451981:0.894785:0.459289:0.894785:0.459289:0.878682:0.451981:0.878682:0.000000
=(5 , 2 ,3 ):@0.463396:0.894672:0.550257:0.894672:0.550257:0.878541:0.463396:0.878541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.489862:0.894785:0.495400:0.894785:0.495400:0.878682:0.489862:0.878682:0.000000
t t:@0.519553:0.894785:0.544192:0.894785:0.544192:0.878682:0.519553:0.878682:0.000000:0.000000:0.000000
1:@0.584046:0.896841:0.588855:0.896841:0.588855:0.887504:0.584046:0.887504:0.000000
.:@0.590035:0.894672:0.592729:0.894672:0.592729:0.878541:0.590035:0.878541:0.000000
 :@0.595768:0.895448:0.599910:0.895448:0.599910:0.878950:0.595768:0.878950:0.000000
Así, :@0.131976:0.913420:0.161086:0.913420:0.161086:0.896923:0.131976:0.896923:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.163369:0.913543:0.172943:0.913543:0.172943:0.897074:0.163369:0.897074:0.000000
1:@0.207501:0.915646:0.212419:0.915646:0.212419:0.906097:0.207501:0.906097:0.000000
. De manera similar, se prueba que :@0.213626:0.913427:0.457773:0.913427:0.457773:0.896930:0.213626:0.896930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.460010:0.912286:0.469585:0.912286:0.469585:0.895817:0.460010:0.895817:0.000000
2:@0.504613:0.914388:0.509531:0.914388:0.509531:0.904840:0.504613:0.904840:0.000000
.  En conclu-:@0.511890:0.912170:0.595783:0.913427:0.595783:0.896930:0.511890:0.895672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión, :@0.131972:0.931400:0.168017:0.931400:0.168017:0.914902:0.131972:0.914902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.171006:0.931522:0.180581:0.931522:0.180581:0.915053:0.171006:0.915053:0.000000
1:@0.215137:0.933625:0.220054:0.933625:0.220054:0.924076:0.215137:0.924076:0.000000
.:@0.221263:0.931406:0.224018:0.931406:0.224018:0.914909:0.221263:0.914909:0.000000
R:@0.229639:0.931522:0.239214:0.931522:0.239214:0.915053:0.229639:0.915053:0.000000
2:@0.274243:0.933625:0.279160:0.933625:0.279160:0.924076:0.274243:0.924076:0.000000
.Luego, :@0.281518:0.931406:0.337072:0.931406:0.337072:0.914909:0.281518:0.914909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.340056:0.931522:0.349631:0.931522:0.349631:0.915053:0.340056:0.915053:0.000000
1:@0.384187:0.933625:0.389104:0.933625:0.389104:0.924076:0.384187:0.924076:0.000000
2:@0.424079:0.933625:0.428997:0.933625:0.428997:0.924076:0.424079:0.924076:0.000000
.:@0.431357:0.931406:0.434112:0.931406:0.434112:0.914909:0.431357:0.914909:0.000000
Simbología matemática:@0.684804:0.102537:0.851007:0.102537:0.851007:0.087065:0.684804:0.087065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algunos símbolos utili-:@0.685042:0.131165:0.834432:0.131165:0.834432:0.116102:0.685042:0.116102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zados en esta unidad son::@0.638498:0.147007:0.804896:0.147007:0.804896:0.131944:0.638498:0.131944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Plano:  :@0.638498:0.168090:0.684743:0.168090:0.684743:0.153027:0.638498:0.153027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.684748:0.168452:0.697396:0.168452:0.697396:0.151789:0.684748:0.151789:0.000000
1:@0.697395:0.171762:0.702397:0.171762:0.702397:0.162048:0.697395:0.162048:0.000000
Vector:  :@0.638503:0.187501:0.692909:0.187501:0.692909:0.172438:0.638503:0.172438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.696626:0.190121:0.703451:0.190121:0.703451:0.175084:0.696626:0.175084:0.000000
Perpendicular:  :@0.638503:0.206907:0.738415:0.206907:0.738415:0.191844:0.638503:0.191844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paralelo:  :@0.638503:0.226312:0.699277:0.226312:0.699277:0.211249:0.638503:0.211249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
||:@0.699277:0.226418:0.708107:0.226418:0.708107:0.211381:0.699277:0.211381:0.000000:0.000000
Intersección:  :@0.638503:0.245719:0.727541:0.245719:0.727541:0.230656:0.638503:0.230656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Subconjunto:  :@0.638503:0.265125:0.733154:0.265125:0.733154:0.250062:0.638503:0.250062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.353072:0.827156:0.353072:0.827156:0.337600:0.684804:0.337600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para conocer más acerca :@0.685042:0.381701:0.848521:0.381701:0.848521:0.366638:0.685042:0.366638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la posición :@0.638498:0.397543:0.731901:0.397543:0.731901:0.382480:0.638498:0.382480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relativa:@0.731831:0.397741:0.780925:0.397741:0.780925:0.382480:0.731831:0.382480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 entre pla-:@0.780942:0.397543:0.846643:0.397543:0.846643:0.382480:0.780942:0.382480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos, :@0.638498:0.413385:0.668278:0.413385:0.668278:0.398322:0.638498:0.398322:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.668278:0.413583:0.715930:0.413583:0.715930:0.398322:0.668278:0.398322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente enlace :@0.715930:0.413385:0.840324:0.413385:0.840324:0.398322:0.715930:0.398322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.638498:0.429227:0.649422:0.429227:0.649422:0.414164:0.638498:0.414164:0.000000:0.000000
observa:@0.649422:0.429425:0.702278:0.429425:0.702278:0.414164:0.649422:0.414164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el video: :@0.702280:0.429227:0.762789:0.429227:0.762789:0.414164:0.702280:0.414164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13m04:@0.638498:0.452528:0.736387:0.452528:0.736387:0.437214:0.638498:0.437214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.147383:0.740543:0.151811:0.740543:0.151811:0.731558:0.147383:0.731558:0.000000
=:@0.155019:0.738455:0.164750:0.738455:0.164750:0.722932:0.155019:0.722932:0.000000
x:@0.175712:0.738563:0.182441:0.738563:0.182441:0.723068:0.175712:0.723068:0.000000
=( , , ):@0.185703:0.738455:0.241172:0.738455:0.241172:0.722932:0.185703:0.722932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.203568:0.738563:0.235760:0.738563:0.235760:0.723068:0.203568:0.723068:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.269081:0.730894:0.273509:0.730894:0.273509:0.721910:0.269081:0.721910:0.000000
|2:@0.276481:0.738455:0.290166:0.738455:0.290166:0.722932:0.276481:0.722932:0.000000:0.000000
x:@0.291432:0.738563:0.298162:0.738563:0.298162:0.723068:0.291432:0.723068:0.000000
+:@0.301041:0.738972:0.310563:0.738972:0.310563:0.721245:0.301041:0.721245:0.000000
5 =0 ,:@0.312454:0.738455:0.363660:0.738455:0.363660:0.722932:0.312454:0.722932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.321369:0.738563:0.328290:0.738563:0.328290:0.723068:0.321369:0.723068:0.000000
{:@0.166473:0.744226:0.174798:0.744226:0.174798:0.712672:0.166473:0.712672:0.000000
}:@0.351370:0.744226:0.359695:0.744226:0.359695:0.712672:0.351370:0.712672:0.000000
2:@0.382431:0.740543:0.386887:0.740543:0.386887:0.731558:0.382431:0.731558:0.000000
=:@0.391159:0.738455:0.400953:0.738455:0.400953:0.722932:0.391159:0.722932:0.000000
x:@0.411985:0.738563:0.418758:0.738563:0.418758:0.723068:0.411985:0.723068:0.000000
=( , , ):@0.422041:0.738455:0.477868:0.738455:0.477868:0.722932:0.422041:0.722932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.440021:0.738563:0.472421:0.738563:0.472421:0.723068:0.440021:0.723068:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.505957:0.730894:0.510413:0.730894:0.510413:0.721910:0.505957:0.721910:0.000000
|3:@0.513405:0.738455:0.527178:0.738455:0.527178:0.722932:0.513405:0.722932:0.000000:0.000000
x:@0.528069:0.738563:0.534842:0.738563:0.534842:0.723068:0.528069:0.723068:0.000000
5 =0 .:@0.549220:0.738455:0.598631:0.738455:0.598631:0.722932:0.549220:0.722932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.557809:0.738563:0.563831:0.738563:0.563831:0.723068:0.557809:0.723068:0.000000
{:@0.402687:0.744226:0.411066:0.744226:0.411066:0.712672:0.402687:0.712672:0.000000
}:@0.586926:0.744226:0.595305:0.744226:0.595305:0.712672:0.586926:0.712672:0.000000
Glosario:@0.684574:0.644496:0.752039:0.644496:0.752039:0.626814:0.684574:0.626814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relativa::@0.684812:0.671311:0.735735:0.671311:0.735735:0.656050:0.684812:0.656050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que guarda rela-:@0.735559:0.671113:0.840906:0.671113:0.840906:0.656050:0.735559:0.656050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción con alguien o con algo.:@0.638269:0.686955:0.813993:0.686955:0.813993:0.671892:0.638269:0.671892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.631840:0.648229:0.643245:0.646720:0.638042:0.624575:0.626637:0.626084:0.000000
c:@0.635222:0.659199:0.645821:0.657796:0.640738:0.636161:0.630139:0.637564:0.000000
b:@0.645597:0.651981:0.658311:0.650298:0.653179:0.628456:0.640465:0.630138:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000