144:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
 Vectores geométricos en el plano:@0.073089:0.043661:0.371606:0.043661:0.371606:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.2 Vector nulo:@0.293660:0.136836:0.411457:0.136836:0.411457:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sea   un punto del plano, el bipunto ( ,  ) es representante del vector :@0.293660:0.167776:0.805581:0.167776:0.805581:0.151342:0.293660:0.151342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.323314:0.167776:0.333199:0.167776:0.333199:0.151370:0.323314:0.151370:0.000000
A A:@0.568407:0.167776:0.595208:0.167776:0.595208:0.151370:0.568407:0.151370:0.000000:0.000000:0.000000
AA:@0.805437:0.167776:0.825022:0.167776:0.825022:0.151370:0.805437:0.151370:0.000000:0.000000
, denominado :@0.824967:0.167776:0.930993:0.167776:0.930993:0.151342:0.824967:0.151342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector nulo, al que se lo designa con 0, es decir, :@0.293642:0.184418:0.639396:0.184418:0.639396:0.167984:0.293642:0.167984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AA:@0.639238:0.184418:0.658823:0.184418:0.658823:0.168012:0.639238:0.168012:0.000000:0.000000
   0.:@0.658768:0.184418:0.694036:0.184418:0.694036:0.167984:0.658768:0.167984:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.662726:0.183863:0.678059:0.183863:0.678059:0.170148:0.662726:0.170148:0.000000
Si   es cualquier punto del plano :@0.293660:0.215358:0.534806:0.215358:0.534806:0.198924:0.293660:0.198924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.309840:0.215358:0.318676:0.215358:0.318676:0.198952:0.309840:0.198952:0.000000
0    ( ,  ) І ( ,  )   ( ,  ) ,:@0.517824:0.246298:0.702669:0.246298:0.702669:0.229864:0.517824:0.229864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.530672:0.245743:0.546005:0.245743:0.546005:0.232028:0.530672:0.232028:0.000000
5:@0.549871:0.246880:0.553957:0.246880:0.553957:0.229226:0.549871:0.229226:0.000000
A A:@0.558669:0.246298:0.585434:0.246298:0.585434:0.229892:0.558669:0.229892:0.000000:0.000000:0.000000
A A:@0.606657:0.246298:0.633421:0.246298:0.633421:0.229892:0.606657:0.229892:0.000000:0.000000:0.000000
,:@0.642091:0.246880:0.657424:0.246880:0.657424:0.229226:0.642091:0.229226:0.000000
B B:@0.666076:0.246298:0.690741:0.246298:0.690741:0.229892:0.666076:0.229892:0.000000:0.000000:0.000000
6:@0.695472:0.246880:0.699558:0.246880:0.699558:0.229226:0.695472:0.229226:0.000000
se tiene la siguiente equivalencia:     0   :@0.293586:0.277238:0.616364:0.277225:0.616364:0.260791:0.293586:0.260804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.539305:0.277238:0.557951:0.277238:0.557951:0.260832:0.539305:0.260832:0.000000:0.000000
5:@0.597092:0.276670:0.612425:0.276670:0.612425:0.262955:0.597092:0.262955:0.000000
B:@0.616291:0.277225:0.625126:0.277225:0.625126:0.260819:0.616291:0.260819:0.000000
1.3 Dirección y sentido de vectores no nulos:@0.293667:0.309178:0.637840:0.309178:0.637840:0.292231:0.293667:0.292231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  dos vectores no nulos del plano y  ,  ,  ,   cuatro puntos del plano, tales que :@0.293667:0.340117:0.931114:0.340117:0.931114:0.323684:0.293667:0.323684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v :@0.333500:0.340117:0.361212:0.340117:0.361212:0.323711:0.333500:0.323711:0.000000:0.000000:0.000000:0.000000
A B C D:@0.611339:0.340117:0.673740:0.340117:0.673740:0.323711:0.611339:0.323711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )   :@0.293685:0.356759:0.354484:0.356759:0.354484:0.340326:0.293685:0.340326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.298618:0.356759:0.325364:0.356759:0.325364:0.340353:0.298618:0.340353:0.000000:0.000000:0.000000
[:@0.335065:0.356621:0.350398:0.356621:0.350398:0.342572:0.335065:0.342572:0.000000
AB:@0.355184:0.356759:0.373941:0.356759:0.373941:0.340353:0.355184:0.340353:0.000000:0.000000
    , ( ,  )   :@0.373978:0.356759:0.479654:0.356759:0.479654:0.340326:0.373978:0.340326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.378708:0.356205:0.394042:0.356205:0.394042:0.342489:0.378708:0.342489:0.000000
u C D:@0.398827:0.356759:0.450533:0.356759:0.450533:0.340353:0.398827:0.340353:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.460234:0.356621:0.475567:0.356621:0.475567:0.342572:0.460234:0.342572:0.000000
AB:@0.480353:0.356759:0.499110:0.356759:0.499110:0.340353:0.480353:0.340353:0.000000:0.000000
    , y :@0.499147:0.356759:0.553522:0.356759:0.553522:0.340326:0.499147:0.340326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.503878:0.356205:0.519211:0.356205:0.519211:0.342489:0.503878:0.342489:0.000000
u:@0.523997:0.356759:0.533311:0.356759:0.533311:0.340353:0.523997:0.340353:0.000000
L:@0.554203:0.356759:0.561824:0.356759:0.561824:0.340353:0.554203:0.340353:0.000000
AB:@0.561822:0.359923:0.572757:0.359923:0.572757:0.350358:0.561822:0.350358:0.000000:0.000000
 y :@0.572783:0.356750:0.589699:0.356750:0.589699:0.340317:0.572783:0.340317:0.000000:0.000000:0.000000
L:@0.590380:0.356750:0.598001:0.356750:0.598001:0.340344:0.590380:0.340344:0.000000
CD:@0.598047:0.359923:0.610560:0.359923:0.610560:0.350358:0.598047:0.350358:0.000000:0.000000
 los soportes de los bipuntos ( ,  ) y ( ,  ). :@0.610586:0.356750:0.930959:0.356750:0.930959:0.340317:0.610586:0.340317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.835063:0.356750:0.861808:0.356750:0.861808:0.340344:0.835063:0.340344:0.000000:0.000000:0.000000
C D:@0.889309:0.356750:0.918760:0.356750:0.918760:0.340344:0.889309:0.340344:0.000000:0.000000:0.000000
Designamos con  ,   la semirrecta de origen   y que pasa por   (Figura 1.8.). En forma :@0.293668:0.373392:0.931003:0.373392:0.931003:0.356959:0.293668:0.356959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.420715:0.373975:0.424802:0.373975:0.424802:0.356321:0.420715:0.356321:0.000000
A B:@0.424710:0.373392:0.450830:0.373392:0.450830:0.356986:0.424710:0.356986:0.000000:0.000000:0.000000
3:@0.450774:0.373975:0.454861:0.373975:0.454861:0.356321:0.450774:0.356321:0.000000
A:@0.631073:0.373392:0.640958:0.373392:0.640958:0.356986:0.631073:0.356986:0.000000
B:@0.757697:0.373392:0.766532:0.373392:0.766532:0.356986:0.757697:0.356986:0.000000
análoga, tenemos  ,   (Figura 1.9.).:@0.293632:0.390034:0.553279:0.390034:0.553279:0.373600:0.293632:0.373600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.427213:0.390617:0.431300:0.390617:0.431300:0.372962:0.427213:0.372962:0.000000
C D:@0.431207:0.390034:0.459628:0.390034:0.459628:0.373628:0.431207:0.373628:0.000000:0.000000:0.000000
3:@0.459555:0.390617:0.463641:0.390617:0.463641:0.372962:0.459555:0.372962:0.000000
Definición:@0.293613:0.420974:0.371583:0.420974:0.371583:0.404305:0.293613:0.404305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i. :@0.293660:0.451908:0.304594:0.451908:0.304594:0.435474:0.293660:0.435474:0.000000:0.000000:0.000000
La dirección del vector   es la dirección de la recta :@0.323861:0.451908:0.699550:0.451908:0.699550:0.435474:0.323861:0.435474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.495546:0.451908:0.504860:0.451908:0.504860:0.435502:0.495546:0.435502:0.000000
L:@0.700050:0.451908:0.707671:0.451908:0.707671:0.435502:0.700050:0.435502:0.000000
AB:@0.707669:0.455080:0.718583:0.455080:0.718583:0.445515:0.707669:0.445515:0.000000:0.000000
. El sentido del vector  es el :@0.718588:0.451908:0.930934:0.451908:0.930934:0.435474:0.718588:0.435474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u :@0.880811:0.451908:0.893439:0.451908:0.893439:0.435502:0.880811:0.435502:0.000000:0.000000
sentido de la semirrecta  ,  .:@0.323789:0.468550:0.537829:0.468550:0.537829:0.452116:0.323789:0.452116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.500996:0.469132:0.505082:0.469132:0.505082:0.451478:0.500996:0.451478:0.000000
A B:@0.504990:0.468550:0.530705:0.468550:0.530705:0.452144:0.504990:0.452144:0.000000:0.000000:0.000000
3:@0.530632:0.469132:0.534718:0.469132:0.534718:0.451478:0.530632:0.451478:0.000000
ii.  Diremos que los vectores   y   tienen la misma dirección y sentido si y solo si :@0.293660:0.499486:0.931004:0.499486:0.931004:0.483052:0.293660:0.483052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.524298:0.499486:0.533612:0.499486:0.533612:0.483080:0.524298:0.483080:0.000000
v:@0.553621:0.499486:0.561352:0.499486:0.561352:0.483080:0.553621:0.483080:0.000000
 :@0.926920:0.499486:0.930951:0.499486:0.930951:0.483052:0.926920:0.483052:0.000000
L:@0.323788:0.516128:0.331408:0.516128:0.331408:0.499722:0.323788:0.499722:0.000000
AB:@0.331335:0.519300:0.342206:0.519300:0.342206:0.509735:0.331335:0.509735:0.000000:0.000000
 || :@0.342172:0.516128:0.357818:0.516128:0.357818:0.499694:0.342172:0.499694:0.000000:0.000000:0.000000:0.000000
L:@0.357707:0.516128:0.365328:0.516128:0.365328:0.499722:0.357707:0.499722:0.000000
CD:@0.365271:0.519300:0.377720:0.519300:0.377720:0.509735:0.365271:0.509735:0.000000:0.000000
 y  ,   y  ,   tienen el mismo sentido (véase Figura 1.9.).:@0.377684:0.516128:0.794042:0.516128:0.794042:0.499694:0.377684:0.499694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.393606:0.516710:0.397693:0.516710:0.397693:0.499056:0.393606:0.499056:0.000000
A B:@0.397601:0.516128:0.423316:0.516128:0.423316:0.499722:0.397601:0.499722:0.000000:0.000000:0.000000
3 3:@0.423242:0.516710:0.447245:0.516710:0.447245:0.499056:0.423242:0.499056:0.000000:0.000000:0.000000
C D:@0.447153:0.516128:0.475574:0.516128:0.475574:0.499722:0.447153:0.499722:0.000000:0.000000:0.000000
3:@0.475500:0.516710:0.479587:0.516710:0.479587:0.499056:0.475500:0.499056:0.000000
iii.  Diremos que los vectores   y   tienen la misma dirección y son de sentido opuestos :@0.293660:0.547065:0.931157:0.547065:0.931157:0.530631:0.293660:0.530631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.510308:0.547065:0.542963:0.547065:0.542963:0.530659:0.510308:0.530659:0.000000:0.000000:0.000000
si y solo si   || :@0.323769:0.563707:0.432774:0.563707:0.432774:0.547273:0.323769:0.547273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.398724:0.563707:0.406344:0.563707:0.406344:0.547301:0.398724:0.547301:0.000000
AB:@0.406291:0.566879:0.417162:0.566879:0.417162:0.557314:0.406291:0.557314:0.000000:0.000000
L:@0.432663:0.563707:0.440284:0.563707:0.440284:0.547301:0.432663:0.547301:0.000000
CD:@0.440225:0.566879:0.452674:0.566879:0.452674:0.557314:0.440225:0.557314:0.000000:0.000000
 y  ,   y  ,   tienen sentidos opuestos (véase Figura 1.10.).:@0.452640:0.563707:0.884931:0.563707:0.884931:0.547273:0.452640:0.547273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.468563:0.564289:0.472649:0.564289:0.472649:0.546635:0.468563:0.546635:0.000000
A B:@0.472557:0.563707:0.498272:0.563707:0.498272:0.547301:0.472557:0.547301:0.000000:0.000000:0.000000
3 3:@0.498198:0.564289:0.522201:0.564289:0.522201:0.546635:0.498198:0.546635:0.000000:0.000000:0.000000
C D:@0.522109:0.563707:0.550530:0.563707:0.550530:0.547301:0.522109:0.547301:0.000000:0.000000:0.000000
3:@0.550456:0.564289:0.554543:0.564289:0.554543:0.546635:0.550456:0.546635:0.000000
En la Figura 1.9. se muestran dos vectores que tienen la misma dirección y sentido.:@0.293620:0.594647:0.889986:0.594647:0.889986:0.578213:0.293620:0.578213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la Figura 1.10. se muestran dos vectores con la misma longitud, dirección y sentidos :@0.293620:0.625587:0.930303:0.625587:0.930303:0.609153:0.293620:0.609153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuestos. En la Figura 1.11. se muestran dos vectores con la misma dirección y sentidos :@0.293620:0.642229:0.931323:0.642229:0.931323:0.625795:0.293620:0.625795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuestos.:@0.293620:0.658870:0.363774:0.658870:0.363774:0.642437:0.293620:0.642437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.4 Longitud o norma de un vector:@0.293620:0.690823:0.565225:0.690823:0.565225:0.673876:0.293620:0.673876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   un vector del plano. Existen dos puntos  ,   del plano, tales que ( ,  )   :@0.293620:0.721763:0.858134:0.721763:0.858134:0.705329:0.293620:0.705329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.323237:0.721763:0.332551:0.721763:0.332551:0.705357:0.323237:0.705357:0.000000
A B:@0.625448:0.721763:0.651162:0.721763:0.651162:0.705357:0.625448:0.705357:0.000000:0.000000:0.000000
A B:@0.804476:0.721763:0.830191:0.721763:0.830191:0.705357:0.804476:0.705357:0.000000:0.000000:0.000000
[:@0.838861:0.721624:0.854194:0.721624:0.854194:0.707575:0.838861:0.707575:0.000000
AB:@0.858060:0.721763:0.876707:0.721763:0.876707:0.705357:0.858060:0.705357:0.000000:0.000000
    .:@0.876651:0.721763:0.912251:0.721763:0.912251:0.705329:0.876651:0.705329:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.880609:0.721208:0.895942:0.721208:0.895942:0.707492:0.880609:0.707492:0.000000
u:@0.899808:0.721763:0.909122:0.721763:0.909122:0.705357:0.899808:0.705357:0.000000
Definición:@0.293565:0.752703:0.371534:0.752703:0.371534:0.736033:0.293565:0.736033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La longitud o norma de un vector   se denota con || || y se define como || ||    ( ,  ).:@0.293565:0.783643:0.914018:0.783643:0.914018:0.767209:0.293565:0.767209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.541823:0.783643:0.551137:0.783643:0.551137:0.767236:0.541823:0.767236:0.000000
u:@0.669938:0.783643:0.679252:0.783643:0.679252:0.767236:0.669938:0.767236:0.000000
u:@0.826344:0.783643:0.835658:0.783643:0.835658:0.767236:0.826344:0.767236:0.000000
5:@0.847181:0.783088:0.862515:0.783088:0.862515:0.769372:0.847181:0.769372:0.000000
d A B:@0.866380:0.783643:0.906085:0.783643:0.906085:0.767236:0.866380:0.767236:0.000000:0.000000:0.000000:0.000000:0.000000
Se tiene que || ||   ||:@0.293546:0.814582:0.443492:0.814582:0.443492:0.798149:0.293546:0.798149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.395725:0.814582:0.405039:0.814582:0.405039:0.798176:0.395725:0.798176:0.000000
5:@0.416562:0.814028:0.431895:0.814028:0.431895:0.800312:0.416562:0.800312:0.000000
AB:@0.443400:0.814582:0.462046:0.814582:0.462046:0.798176:0.443400:0.798176:0.000000:0.000000
||    ( ,  )   0.:@0.461991:0.814582:0.572471:0.814582:0.572471:0.798149:0.461991:0.798149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.473588:0.814028:0.488921:0.814028:0.488921:0.800312:0.473588:0.800312:0.000000
d A B:@0.492786:0.814582:0.532491:0.814582:0.532491:0.798176:0.492786:0.798176:0.000000:0.000000:0.000000:0.000000:0.000000
$:@0.541161:0.814028:0.556494:0.814028:0.556494:0.800312:0.541161:0.800312:0.000000
Como  ( ,  )   0 para todo punto   del plano, resulta que ||0||   ||:@0.293528:0.845522:0.774381:0.845522:0.774381:0.829089:0.293528:0.829089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d A B:@0.342197:0.845522:0.381901:0.845522:0.381901:0.829116:0.342197:0.829116:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.390571:0.844968:0.405904:0.844968:0.405904:0.831252:0.390571:0.831252:0.000000
A:@0.546075:0.845522:0.555960:0.845522:0.555960:0.829116:0.546075:0.829116:0.000000
5:@0.747451:0.844968:0.762784:0.844968:0.762784:0.831252:0.747451:0.831252:0.000000
AA:@0.774289:0.845522:0.793874:0.845522:0.793874:0.829116:0.774289:0.829116:0.000000:0.000000
||   0.:@0.793819:0.845522:0.836726:0.845522:0.836726:0.829089:0.793819:0.829089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.805415:0.844968:0.820748:0.844968:0.820748:0.831252:0.805415:0.831252:0.000000
Supongamos      . Puesto que  ( ,  )    ( ,  ), se sigue que ||:@0.293491:0.876462:0.768656:0.876462:0.768656:0.860029:0.293491:0.860029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.397363:0.876462:0.407248:0.876462:0.407248:0.860056:0.397363:0.860056:0.000000
Þ:@0.411923:0.875908:0.427257:0.875908:0.427257:0.862192:0.411923:0.862192:0.000000
B:@0.431895:0.876462:0.440731:0.876462:0.440731:0.860056:0.431895:0.860056:0.000000
d A B:@0.537314:0.876462:0.578399:0.876462:0.578399:0.860056:0.537314:0.860056:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.588062:0.875908:0.603396:0.875908:0.603396:0.862192:0.588062:0.862192:0.000000
d B A:@0.608034:0.876462:0.649119:0.876462:0.649119:0.860056:0.608034:0.860056:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.768730:0.876462:0.787579:0.876462:0.787579:0.860056:0.768730:0.860056:0.000000:0.000000
||   ||:@0.787689:0.876462:0.828148:0.876462:0.828148:0.860029:0.787689:0.860029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.800261:0.875908:0.815594:0.875908:0.815594:0.862192:0.800261:0.862192:0.000000
BA:@0.828259:0.876462:0.847329:0.876462:0.847329:0.860056:0.828259:0.860056:0.000000:0.000000
||. Además, :@0.847439:0.876462:0.930840:0.876462:0.930840:0.860029:0.847439:0.860029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los vectores :@0.293546:0.893104:0.387083:0.893104:0.387083:0.876670:0.293546:0.876670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BA:@0.387865:0.893104:0.443989:0.893104:0.443989:0.876698:0.387865:0.876698:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.406990:0.893104:0.424091:0.893104:0.424091:0.876670:0.406990:0.876670:0.000000:0.000000:0.000000
 tienen la misma dirección pero son de sentidos opuestos. En la :@0.444191:0.893104:0.930467:0.893104:0.930467:0.876670:0.444191:0.876670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.10. se muestran los vectores :@0.293528:0.909746:0.568755:0.909746:0.568755:0.893312:0.293528:0.893312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BA:@0.568643:0.909746:0.623245:0.909715:0.623245:0.893309:0.568643:0.893340:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.587602:0.909746:0.603985:0.909746:0.603985:0.893312:0.587602:0.893312:0.000000:0.000000:0.000000
.:@0.623374:0.909715:0.626577:0.909715:0.626577:0.893281:0.623374:0.893281:0.000000
Los vehículos tienen la :@0.089311:0.283760:0.253102:0.283760:0.253102:0.267326:0.089311:0.267326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma dirección pero :@0.091969:0.300401:0.250424:0.300401:0.250424:0.283968:0.091969:0.283968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentidos opuestos.:@0.103051:0.317043:0.235312:0.317043:0.235312:0.300610:0.103051:0.300610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.9.:@0.132649:0.630728:0.205682:0.630728:0.205682:0.614294:0.132649:0.614294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.10.:@0.128195:0.757386:0.210137:0.757386:0.210137:0.740952:0.128195:0.740952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.11.:@0.128195:0.941584:0.210137:0.941584:0.210137:0.925150:0.128195:0.925150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.8.:@0.132649:0.443646:0.205682:0.443646:0.205682:0.427212:0.132649:0.427212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.246159:0.349907:0.249503:0.349907:0.249503:0.335463:0.246159:0.335463:0.000000
A, B:@0.249427:0.349431:0.270000:0.349431:0.270000:0.336007:0.249427:0.336007:0.000000:0.000000:0.000000:0.000000
3:@0.269970:0.349907:0.273313:0.349907:0.273313:0.335463:0.269970:0.335463:0.000000
B:@0.212484:0.380475:0.219713:0.380475:0.219713:0.367052:0.212484:0.367052:0.000000
A:@0.155556:0.423763:0.163643:0.423763:0.163643:0.410340:0.155556:0.410340:0.000000
B:@0.164560:0.357883:0.171789:0.357883:0.171789:0.344459:0.164560:0.344459:0.000000
A:@0.087241:0.396836:0.095328:0.396836:0.095328:0.383413:0.087241:0.383413:0.000000
L:@0.190648:0.335367:0.196883:0.335367:0.196883:0.321944:0.190648:0.321944:0.000000
AB:@0.196830:0.337962:0.205724:0.337962:0.205724:0.330137:0.196830:0.330137:0.000000:0.000000
u:@0.071125:0.355014:0.080439:0.355014:0.080439:0.338608:0.071125:0.338608:0.000000
B:@0.140224:0.551064:0.147453:0.551064:0.147453:0.537641:0.140224:0.537641:0.000000
3:@0.076993:0.527903:0.080336:0.527903:0.080336:0.513459:0.076993:0.513459:0.000000
A, B:@0.080261:0.527426:0.100833:0.527426:0.100833:0.514003:0.080261:0.514003:0.000000:0.000000:0.000000:0.000000
3:@0.100803:0.527903:0.104147:0.527903:0.104147:0.513459:0.100803:0.513459:0.000000
L || L:@0.145217:0.608601:0.176680:0.608602:0.176680:0.595179:0.145217:0.595178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB :@0.151385:0.611198:0.161825:0.611198:0.161825:0.603372:0.151385:0.603372:0.000000:0.000000:0.000000
CD:@0.176644:0.611198:0.186829:0.611198:0.186829:0.603372:0.176644:0.603372:0.000000:0.000000
3:@0.146628:0.484711:0.149971:0.484711:0.149971:0.470267:0.146628:0.470267:0.000000
C, D:@0.149896:0.484235:0.172683:0.484235:0.172683:0.470811:0.149896:0.470811:0.000000:0.000000:0.000000:0.000000
3:@0.172653:0.484711:0.175996:0.484711:0.175996:0.470267:0.172653:0.470267:0.000000
D:@0.149249:0.511035:0.158676:0.511035:0.158676:0.497612:0.149249:0.497612:0.000000
C:@0.244566:0.582293:0.252669:0.582293:0.252669:0.568870:0.244566:0.568870:0.000000
A:@0.201418:0.593946:0.209506:0.593946:0.209506:0.580523:0.201418:0.580523:0.000000
v:@0.215528:0.532452:0.223259:0.532452:0.223259:0.516046:0.215528:0.516046:0.000000
u:@0.169990:0.578197:0.179304:0.578197:0.179304:0.561790:0.169990:0.561790:0.000000
B:@0.181776:0.674693:0.189005:0.674693:0.189005:0.661270:0.181776:0.661270:0.000000
£:@0.244389:0.665758:0.251347:0.665758:0.251347:0.652335:0.244389:0.652335:0.000000
£:@0.244389:0.683629:0.251347:0.683629:0.251347:0.670206:0.244389:0.670206:0.000000
B:@0.205262:0.702396:0.212491:0.702396:0.212491:0.688973:0.205262:0.688973:0.000000
A:@0.112534:0.732771:0.120622:0.732771:0.120622:0.719348:0.112534:0.719348:0.000000
A:@0.095215:0.704008:0.103302:0.704008:0.103302:0.690584:0.095215:0.690584:0.000000
AB:@0.132518:0.688911:0.151164:0.688911:0.151164:0.672505:0.132518:0.672505:0.000000:0.000000
BA:@0.165010:0.726078:0.183657:0.726078:0.183657:0.709672:0.165010:0.709672:0.000000:0.000000
B:@0.124226:0.861312:0.131455:0.861312:0.131455:0.847889:0.124226:0.847889:0.000000
[A, B[:@0.085898:0.811279:0.114263:0.811279:0.114263:0.797856:0.085898:0.797856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L  || L:@0.150040:0.919867:0.182613:0.919872:0.182613:0.906449:0.150040:0.906444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.156217:0.922467:0.165111:0.922467:0.165111:0.914642:0.156217:0.914642:0.000000:0.000000
CD:@0.182582:0.922467:0.192767:0.922467:0.192767:0.914642:0.182582:0.914642:0.000000:0.000000
3:@0.229531:0.893545:0.232874:0.893545:0.232874:0.879101:0.229531:0.879101:0.000000
C, D:@0.232799:0.893069:0.255586:0.893069:0.255586:0.879646:0.232799:0.879646:0.000000:0.000000:0.000000:0.000000
4:@0.255555:0.893545:0.258899:0.893545:0.258899:0.879101:0.255555:0.879101:0.000000
D:@0.242814:0.859528:0.252242:0.859528:0.252242:0.846105:0.242814:0.846105:0.000000
C:@0.149364:0.798778:0.157467:0.798778:0.157467:0.785355:0.149364:0.785355:0.000000
A:@0.184380:0.902055:0.192467:0.902055:0.192467:0.888632:0.184380:0.888632:0.000000
v:@0.191811:0.829969:0.199542:0.829969:0.199542:0.813563:0.191811:0.813563:0.000000
u:@0.185169:0.882682:0.194484:0.882682:0.194484:0.866276:0.185169:0.866276:0.000000
DBA 5 (Ev. 2) Identifica las propiedades de lugares geométricos a través de sus representación en un sistema de referencia.:@0.276874:0.971366:0.918611:0.971366:0.918611:0.959414:0.276874:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000