150:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ó:@0.072616:0.090484:0.372170:0.090484:0.372170:0.064352:0.072616:0.064352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.773786:0.079446:0.817429:0.079446:0.817429:0.059195:0.773786:0.059195:0.000000:0.000000:0.000000
Acción y expresión:@0.721188:0.093905:0.870026:0.093905:0.870026:0.077005:0.721188:0.077005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.:@0.502373:0.144957:0.516600:0.144957:0.516600:0.128056:0.502373:0.128056:0.000000:0.000000
  ¿Qué significa geométricamente el producto pun-:@0.516600:0.144957:0.903641:0.144957:0.903641:0.128568:0.516600:0.128568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.612748:0.144957:0.616783:0.144957:0.616783:0.128568:0.612748:0.128568:0.000000
to de dos vectores normales?:@0.530863:0.161553:0.745486:0.161553:0.745486:0.145164:0.530863:0.145164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.530863:0.185272:0.549585:0.185272:0.549585:0.168371:0.530863:0.168371:0.000000:0.000000:0.000000
  Es el área del paralelogramo que se forma:@0.549585:0.185272:0.865044:0.185272:0.865044:0.168883:0.549585:0.168883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.530863:0.208991:0.547079:0.208991:0.547079:0.192090:0.530863:0.192090:0.000000:0.000000
  Indica si los planos se intersecan:@0.547079:0.208991:0.796110:0.208991:0.796110:0.192602:0.547079:0.192602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.530863:0.232710:0.544683:0.232710:0.544683:0.215809:0.530863:0.215809:0.000000:0.000000
  Mide la distancia entre dos planos:@0.544683:0.232710:0.808751:0.232710:0.808751:0.216321:0.544683:0.216321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.530863:0.256429:0.547116:0.256429:0.547116:0.239528:0.530863:0.239528:0.000000:0.000000
  Permite saber si los planos son perpendiculares:@0.547116:0.256429:0.903598:0.256429:0.903598:0.240040:0.547116:0.240040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. Determina:@0.502373:0.283716:0.615630:0.283716:0.615630:0.266816:0.502373:0.266816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes planos son:@0.615630:0.283716:0.817263:0.283716:0.817263:0.267327:0.615630:0.267327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendiculares.:@0.530863:0.300313:0.652723:0.300313:0.652723:0.283924:0.530863:0.283924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.530863:0.324695:0.549585:0.324695:0.549585:0.307795:0.530863:0.307795:0.000000:0.000000:0.000000
∏:@0.559352:0.324281:0.574518:0.324281:0.574518:0.307338:0.559352:0.307338:0.000000
1:@0.577215:0.327883:0.582457:0.327883:0.582457:0.318328:0.577215:0.318328:0.000000
 =   = (:@0.582457:0.324719:0.643645:0.324719:0.643645:0.308330:0.582457:0.308330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.601511:0.324304:0.610356:0.324304:0.610356:0.307362:0.601511:0.307362:0.000000
x:@0.610356:0.325231:0.617819:0.325231:0.617819:0.308870:0.610356:0.308870:0.000000
x, y, z:@0.643645:0.324719:0.678473:0.324719:0.678473:0.308358:0.643645:0.308358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 3  + :@0.678473:0.324719:0.730844:0.324719:0.730844:0.308330:0.678473:0.308330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.704327:0.324719:0.711790:0.324719:0.711790:0.308358:0.704327:0.308358:0.000000
y + 2z = – ,:@0.730844:0.324719:0.819702:0.324719:0.819702:0.308358:0.730844:0.308358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.798529:0.324719:0.807522:0.324719:0.807522:0.308330:0.798529:0.308330:0.000000
}:@0.807522:0.324304:0.816367:0.324304:0.816367:0.307362:0.807522:0.307362:0.000000
∏:@0.559357:0.348687:0.574523:0.348687:0.574523:0.331745:0.559357:0.331745:0.000000
2:@0.576923:0.352267:0.582166:0.352267:0.582166:0.342712:0.576923:0.342712:0.000000
 =   = (:@0.582058:0.349103:0.641770:0.349103:0.641770:0.332715:0.582058:0.332715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.600559:0.348689:0.609404:0.348689:0.609404:0.331746:0.600559:0.331746:0.000000
x:@0.609220:0.349615:0.616683:0.349615:0.616683:0.333254:0.609220:0.333254:0.000000
x, y, z:@0.641586:0.349103:0.675308:0.349103:0.675308:0.332742:0.641586:0.332742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 2 – :@0.675124:0.349103:0.723552:0.349103:0.723552:0.332715:0.675124:0.332715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  z = :@0.700057:0.349103:0.747674:0.349103:0.747674:0.332742:0.700057:0.332742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.747489:0.349103:0.756482:0.349103:0.756482:0.332715:0.747489:0.332715:0.000000
}:@0.756298:0.348689:0.765143:0.348689:0.765143:0.331746:0.756298:0.331746:0.000000
b):@0.530866:0.456181:0.547082:0.456181:0.547082:0.439281:0.530866:0.439281:0.000000:0.000000
∏:@0.559355:0.455767:0.574521:0.455767:0.574521:0.438824:0.559355:0.438824:0.000000
1:@0.577215:0.459345:0.582457:0.459345:0.582457:0.449790:0.577215:0.449790:0.000000
 =   = (:@0.582457:0.456181:0.643645:0.456181:0.643645:0.439793:0.582457:0.439793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.601511:0.455767:0.610356:0.455767:0.610356:0.438824:0.601511:0.438824:0.000000
x:@0.610356:0.456693:0.617819:0.456693:0.617819:0.440332:0.610356:0.440332:0.000000
x, y, z:@0.643645:0.456181:0.678473:0.456181:0.678473:0.439820:0.643645:0.439820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | –  + 3:@0.678473:0.456181:0.740058:0.456181:0.740058:0.439793:0.678473:0.439793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.704548:0.456181:0.712011:0.456181:0.712011:0.439820:0.704548:0.439820:0.000000
y + 2z = –9 ,:@0.740058:0.456181:0.828437:0.456181:0.828437:0.439820:0.740058:0.439820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.816256:0.455767:0.825102:0.455767:0.825102:0.438824:0.816256:0.438824:0.000000
∏:@0.559357:0.480149:0.574523:0.480149:0.574523:0.463207:0.559357:0.463207:0.000000
2:@0.576923:0.483730:0.582166:0.483730:0.582166:0.474176:0.576923:0.474176:0.000000
 =   = (:@0.582058:0.480567:0.641770:0.480567:0.641770:0.464178:0.582058:0.464178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.600559:0.480152:0.609404:0.480152:0.609404:0.463210:0.600559:0.463210:0.000000
x:@0.609220:0.481079:0.616683:0.481079:0.616683:0.464717:0.609220:0.464717:0.000000
x, y, z:@0.641586:0.480567:0.675308:0.480567:0.675308:0.464206:0.641586:0.464206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 2 – 3:@0.675124:0.480567:0.732360:0.480567:0.732360:0.464178:0.675124:0.464178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.700057:0.480567:0.710671:0.480567:0.710671:0.464206:0.700057:0.464206:0.000000:0.000000
z =  .:@0.732176:0.480567:0.777103:0.480567:0.777103:0.464206:0.732176:0.464206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.756298:0.480567:0.765291:0.480567:0.765291:0.464178:0.756298:0.464178:0.000000
}:@0.765106:0.480152:0.773952:0.480152:0.773952:0.463210:0.765106:0.463210:0.000000
c):@0.530866:0.587645:0.544687:0.587645:0.544687:0.570744:0.530866:0.570744:0.000000:0.000000
∏:@0.559355:0.587230:0.574521:0.587230:0.574521:0.570288:0.559355:0.570288:0.000000
1:@0.577215:0.590809:0.582457:0.590809:0.582457:0.581254:0.577215:0.581254:0.000000
 =   = (:@0.582457:0.587645:0.643645:0.587645:0.643645:0.571256:0.582457:0.571256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.601511:0.587230:0.610356:0.587230:0.610356:0.570288:0.601511:0.570288:0.000000
x:@0.610356:0.588157:0.617819:0.588157:0.617819:0.571795:0.610356:0.571795:0.000000
x, y, z:@0.643645:0.587645:0.678473:0.587645:0.678473:0.571284:0.643645:0.571284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 3  + :@0.678473:0.587645:0.730844:0.587645:0.730844:0.571256:0.678473:0.571256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.704327:0.587645:0.711790:0.587645:0.711790:0.571284:0.704327:0.571284:0.000000
y + z = 5 ,:@0.730844:0.587645:0.801496:0.587645:0.801496:0.571284:0.730844:0.571284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.789315:0.587230:0.798160:0.587230:0.798160:0.570288:0.789315:0.570288:0.000000
∏:@0.559357:0.611613:0.574523:0.611613:0.574523:0.594671:0.559357:0.594671:0.000000
2:@0.576923:0.615193:0.582166:0.615193:0.582166:0.605638:0.576923:0.605638:0.000000
 =   = (:@0.582058:0.612029:0.641770:0.612029:0.641770:0.595640:0.582058:0.595640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.600559:0.611614:0.609404:0.611614:0.609404:0.594672:0.600559:0.594672:0.000000
x:@0.609220:0.612541:0.616683:0.612541:0.616683:0.596179:0.609220:0.596179:0.000000
x, y, z:@0.641586:0.612029:0.675308:0.612029:0.675308:0.595668:0.641586:0.595668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | – + 3:@0.675124:0.612029:0.734332:0.612029:0.734332:0.595640:0.675124:0.595640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.700278:0.612029:0.710874:0.612029:0.710874:0.595668:0.700278:0.595668:0.000000:0.000000
z = :@0.734148:0.612029:0.758454:0.612029:0.758454:0.595668:0.734148:0.595668:0.000000:0.000000:0.000000:0.000000
–3:@0.758270:0.612029:0.776292:0.612029:0.776292:0.595640:0.758270:0.595640:0.000000:0.000000
}:@0.776108:0.611614:0.784953:0.611614:0.784953:0.594672:0.776108:0.594672:0.000000
.:@0.784769:0.612029:0.788104:0.612029:0.788104:0.595668:0.784769:0.595668:0.000000
d):@0.530866:0.719107:0.547119:0.719107:0.547119:0.702206:0.530866:0.702206:0.000000:0.000000
∏:@0.559355:0.718692:0.574521:0.718692:0.574521:0.701750:0.559355:0.701750:0.000000
1:@0.577215:0.722271:0.582457:0.722271:0.582457:0.712716:0.577215:0.712716:0.000000
 =   = (:@0.582457:0.719107:0.643645:0.719107:0.643645:0.702718:0.582457:0.702718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.601511:0.718692:0.610356:0.718692:0.610356:0.701750:0.601511:0.701750:0.000000
x:@0.610356:0.719619:0.617819:0.719619:0.617819:0.703257:0.610356:0.703257:0.000000
x, y, z:@0.643645:0.719107:0.678473:0.719107:0.678473:0.702746:0.643645:0.702746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | –3  + 5:@0.678473:0.719107:0.749051:0.719107:0.749051:0.702718:0.678473:0.702718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.713541:0.719107:0.721004:0.719107:0.721004:0.702746:0.713541:0.702746:0.000000
z = –1 ,:@0.749051:0.719107:0.803818:0.719107:0.803818:0.702746:0.749051:0.702746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.791637:0.718692:0.800482:0.718692:0.800482:0.701750:0.791637:0.701750:0.000000
∏:@0.559357:0.743075:0.574523:0.743075:0.574523:0.726133:0.559357:0.726133:0.000000
2:@0.576923:0.746655:0.582166:0.746655:0.582166:0.737100:0.576923:0.737100:0.000000
 =   = (:@0.582058:0.743491:0.641770:0.743491:0.641770:0.727102:0.582058:0.727102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.600559:0.743076:0.609404:0.743076:0.609404:0.726134:0.600559:0.726134:0.000000
x:@0.609220:0.744003:0.616683:0.744003:0.616683:0.727642:0.609220:0.727642:0.000000
x, y, z:@0.641586:0.743491:0.675308:0.743491:0.675308:0.727130:0.641586:0.727130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 5 + 3:@0.675124:0.743491:0.734111:0.743491:0.734111:0.727102:0.675124:0.727102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.700057:0.743491:0.710653:0.743491:0.710653:0.727130:0.700057:0.727130:0.000000:0.000000
z =  .:@0.733927:0.743491:0.778853:0.743491:0.778853:0.727130:0.733927:0.727130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.758048:0.743491:0.767041:0.743491:0.767041:0.727102:0.758048:0.727102:0.000000
}:@0.766857:0.743076:0.775702:0.743076:0.775702:0.726134:0.766857:0.726134:0.000000
e) :@0.530866:0.832749:0.549736:0.832749:0.549736:0.815849:0.530866:0.815849:0.000000:0.000000:0.000000
∏:@0.559355:0.832335:0.574521:0.832335:0.574521:0.815392:0.559355:0.815392:0.000000
1:@0.577215:0.835913:0.582457:0.835913:0.582457:0.826358:0.577215:0.826358:0.000000
 =   = (:@0.582457:0.832749:0.643645:0.832749:0.643645:0.816361:0.582457:0.816361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.601511:0.832335:0.610356:0.832335:0.610356:0.815392:0.601511:0.815392:0.000000
x:@0.610356:0.833261:0.617819:0.833261:0.617819:0.816900:0.610356:0.816900:0.000000
x, y, z:@0.643645:0.832749:0.678473:0.832749:0.678473:0.816388:0.643645:0.816388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 3  – 4:@0.678473:0.832749:0.738068:0.832749:0.738068:0.816361:0.678473:0.816361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.704327:0.832749:0.711790:0.832749:0.711790:0.816388:0.704327:0.816388:0.000000
y +  z = –5 ,:@0.738068:0.832749:0.826926:0.832749:0.826926:0.816388:0.738068:0.816388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.763166:0.832749:0.772159:0.832749:0.772159:0.816361:0.763166:0.816361:0.000000
}:@0.814745:0.832335:0.823591:0.832335:0.823591:0.815392:0.814745:0.815392:0.000000
∏:@0.559357:0.856717:0.574523:0.856717:0.574523:0.839775:0.559357:0.839775:0.000000
2:@0.576923:0.860298:0.582166:0.860298:0.582166:0.850744:0.576923:0.850744:0.000000
 =   = (:@0.582058:0.857135:0.641770:0.857135:0.641770:0.840746:0.582058:0.840746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.600559:0.856720:0.609404:0.856720:0.609404:0.839778:0.600559:0.839778:0.000000
x:@0.609220:0.857646:0.616683:0.857646:0.616683:0.841285:0.609220:0.841285:0.000000
x, y, z:@0.641586:0.857135:0.675308:0.857135:0.675308:0.840774:0.641586:0.840774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) | 2 + 4:@0.675124:0.857135:0.734111:0.857135:0.734111:0.840746:0.675124:0.840746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.700057:0.857135:0.710653:0.857135:0.710653:0.840774:0.700057:0.840774:0.000000:0.000000
y  +  z =  .:@0.733927:0.857135:0.815156:0.857135:0.815156:0.840774:0.733927:0.840774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.761421:0.857135:0.770413:0.857135:0.770413:0.840746:0.761421:0.840746:0.000000
6:@0.794351:0.857135:0.803344:0.857135:0.803344:0.840746:0.794351:0.840746:0.000000
}:@0.803159:0.856720:0.812005:0.856720:0.812005:0.839778:0.803159:0.839778:0.000000
Analiza:@0.072616:0.144957:0.129041:0.144957:0.129041:0.128056:0.072616:0.128056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada pregunta y :@0.128672:0.144957:0.247715:0.144957:0.247715:0.128568:0.128672:0.128568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
selecciona:@0.246554:0.144957:0.326071:0.144957:0.326071:0.128056:0.246554:0.128056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la respuesta correcta.:@0.325703:0.144957:0.473916:0.144957:0.473916:0.128568:0.325703:0.128568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.072616:0.170460:0.086842:0.170460:0.086842:0.153559:0.072616:0.153559:0.000000:0.000000
  ¿Cuál es la forma general de la ecuación de un :@0.086842:0.170460:0.444782:0.170460:0.444782:0.154071:0.086842:0.154071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano en  ?:@0.101105:0.187056:0.194933:0.187059:0.194933:0.170670:0.101105:0.170667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.182671:0.181011:0.187913:0.181011:0.187913:0.171457:0.182671:0.171457:0.000000
a) :@0.101100:0.210778:0.119822:0.210778:0.119822:0.193877:0.101100:0.193877:0.000000:0.000000:0.000000
 a  + b  + c = 0:@0.119822:0.210778:0.237446:0.210778:0.237446:0.194389:0.119822:0.194389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137955:0.210778:0.145418:0.210778:0.145418:0.194416:0.137955:0.194416:0.000000
y:@0.174645:0.210778:0.182126:0.210778:0.182126:0.194416:0.174645:0.194416:0.000000
b):@0.101100:0.234497:0.117316:0.234497:0.117316:0.217596:0.101100:0.217596:0.000000:0.000000
 A  + B  + C  + D = 0:@0.117316:0.234497:0.279498:0.234497:0.279498:0.218108:0.117316:0.218108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.140369:0.234497:0.147832:0.234497:0.147832:0.218135:0.140369:0.218135:0.000000
y:@0.176192:0.234497:0.183674:0.234497:0.183674:0.218135:0.176192:0.218135:0.000000
z:@0.213232:0.234497:0.220474:0.234497:0.220474:0.218135:0.213232:0.218135:0.000000
c):@0.101100:0.258216:0.114921:0.258216:0.114921:0.241315:0.101100:0.241315:0.000000:0.000000
y:@0.129589:0.258216:0.137071:0.258216:0.137071:0.241854:0.129589:0.241854:0.000000
 = m  + b:@0.137071:0.258216:0.207906:0.258216:0.207906:0.241827:0.137071:0.241827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.171217:0.258216:0.178680:0.258216:0.178680:0.241854:0.171217:0.241854:0.000000
d):@0.101100:0.281935:0.117353:0.281935:0.117353:0.265034:0.101100:0.265034:0.000000:0.000000
 A  + B  = C:@0.117353:0.281935:0.213232:0.281935:0.213232:0.265546:0.117353:0.265546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.140369:0.281935:0.147832:0.281935:0.147832:0.265573:0.140369:0.265573:0.000000
y:@0.176192:0.281935:0.183674:0.281935:0.183674:0.265573:0.176192:0.265573:0.000000
z:@0.213232:0.281935:0.220474:0.281935:0.220474:0.265573:0.213232:0.265573:0.000000
2.:@0.072611:0.309222:0.086837:0.309222:0.086837:0.292321:0.072611:0.292321:0.000000:0.000000
  ¿Qué representa el vector :@0.086837:0.309222:0.292839:0.309222:0.292839:0.292833:0.086837:0.292833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.292769:0.309017:0.302278:0.309017:0.302278:0.292656:0.292769:0.292656:0.000000
A BC:@0.330509:0.309017:0.369907:0.309017:0.369907:0.292656:0.330509:0.292656:0.000000:0.000000:0.000000:0.000000
:@0.293506:0.297787:0.301062:0.297787:0.301062:0.281038:0.293506:0.281038:0.000000
1:@0.301408:0.308192:0.306620:0.308192:0.306620:0.298694:0.301408:0.298694:0.000000
=:@0.310832:0.308602:0.320948:0.308602:0.320948:0.291660:0.310832:0.291660:0.000000
(, ,) en:@0.324173:0.309017:0.399509:0.309244:0.399509:0.292856:0.324173:0.292628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación del plano A  + B  + C  + D = 0?:@0.101110:0.325841:0.418508:0.325841:0.418508:0.309452:0.101110:0.309452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.272358:0.325841:0.279821:0.325841:0.279821:0.309480:0.272358:0.309480:0.000000
y:@0.308181:0.325841:0.315663:0.325841:0.315663:0.309480:0.308181:0.309480:0.000000
z:@0.345221:0.325841:0.352463:0.325841:0.352463:0.309480:0.345221:0.309480:0.000000
a) :@0.101110:0.349560:0.119832:0.349560:0.119832:0.332659:0.101110:0.332659:0.000000:0.000000:0.000000
Un vector paralelo al plano:@0.129599:0.349560:0.326828:0.349560:0.326828:0.333171:0.129599:0.333171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.101110:0.373279:0.121141:0.373279:0.121141:0.356378:0.101110:0.356378:0.000000:0.000000:0.000000
  Un punto del plano:@0.121141:0.373279:0.273336:0.373279:0.273336:0.356890:0.121141:0.356890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.101110:0.396998:0.118745:0.396998:0.118745:0.380097:0.101110:0.380097:0.000000:0.000000:0.000000
  Un vector normal al plano:@0.118745:0.396998:0.320548:0.396998:0.320548:0.380609:0.118745:0.380609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.101110:0.420717:0.121178:0.420717:0.121178:0.403816:0.101110:0.403816:0.000000:0.000000:0.000000
  Un vector de posición:@0.121178:0.420717:0.290916:0.420717:0.290916:0.404328:0.121178:0.404328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.072621:0.448004:0.086847:0.448004:0.086847:0.431103:0.072621:0.431103:0.000000:0.000000
  ¿Cuál es el vector normal del plano: 2  – 5  + 3  = 7?:@0.086847:0.448004:0.473883:0.448004:0.473883:0.431615:0.086847:0.431615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.365753:0.448004:0.373216:0.448004:0.373216:0.431643:0.365753:0.431643:0.000000
y:@0.398366:0.448004:0.405848:0.448004:0.405848:0.431643:0.398366:0.431643:0.000000
z:@0.432734:0.448004:0.439976:0.448004:0.439976:0.431643:0.432734:0.431643:0.000000
a) :@0.101128:0.471723:0.119851:0.471723:0.119851:0.454822:0.101128:0.454822:0.000000:0.000000:0.000000
  (–2, 5, –3):@0.119851:0.471723:0.199278:0.471723:0.199278:0.455334:0.119851:0.455334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.101128:0.495442:0.117345:0.495442:0.117345:0.478541:0.101128:0.478541:0.000000:0.000000
  (2, –5, 3):@0.117345:0.495442:0.190064:0.495442:0.190064:0.479053:0.117345:0.479053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.101128:0.519161:0.114949:0.519161:0.114949:0.502260:0.101128:0.502260:0.000000:0.000000
  (2, 5, 3):@0.114949:0.519161:0.180850:0.519161:0.180850:0.502772:0.114949:0.502772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.101128:0.542880:0.117382:0.542880:0.117382:0.525979:0.101128:0.525979:0.000000:0.000000
  (7, 2, –5):@0.117382:0.542880:0.190064:0.542880:0.190064:0.526491:0.117382:0.526491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.072639:0.570167:0.086865:0.570167:0.086865:0.553266:0.072639:0.553266:0.000000:0.000000
  ¿Qué condición deben cumplir dos vectores norma-:@0.086865:0.570167:0.473940:0.570167:0.473940:0.553778:0.086865:0.553778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les para que sus planos sean paralelos?:@0.101128:0.586764:0.378483:0.586764:0.378483:0.570375:0.101128:0.570375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.101128:0.610482:0.119851:0.610482:0.119851:0.593582:0.101128:0.593582:0.000000:0.000000:0.000000
  Que su producto cruz sea cero:@0.119851:0.610482:0.353605:0.610482:0.353605:0.594094:0.119851:0.594094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.101128:0.634201:0.117345:0.634201:0.117345:0.617301:0.101128:0.617301:0.000000:0.000000
  Que sus módulos sean iguales:@0.117345:0.634201:0.351471:0.634201:0.351471:0.617813:0.117345:0.617813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.101128:0.657920:0.114949:0.657920:0.114949:0.641020:0.101128:0.641020:0.000000:0.000000
  Que uno sea múltiplo del otro:@0.114949:0.657920:0.350139:0.657920:0.350139:0.641532:0.114949:0.641532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.101128:0.681639:0.117382:0.681639:0.117382:0.664739:0.101128:0.664739:0.000000:0.000000
  Que sumen cero:@0.117382:0.681639:0.251537:0.681639:0.251537:0.665251:0.117382:0.665251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.:@0.072639:0.708927:0.086865:0.708927:0.086865:0.692026:0.072639:0.692026:0.000000:0.000000
  ¿Cuál es el producto punto entre los vectores::@0.086865:0.708927:0.427703:0.708927:0.427703:0.692538:0.086865:0.692538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.102039:0.725363:0.109779:0.725363:0.109779:0.709002:0.102039:0.709002:0.000000
w:@0.196057:0.725363:0.208790:0.725363:0.208790:0.709002:0.196057:0.709002:0.000000
:@0.103034:0.714133:0.110590:0.714133:0.110590:0.697385:0.103034:0.697385:0.000000
:@0.197218:0.714133:0.209380:0.714133:0.209380:0.697385:0.197218:0.697385:0.000000:0.000000
=:@0.115123:0.724948:0.125240:0.724948:0.125240:0.708006:0.115123:0.708006:0.000000
=:@0.214061:0.724948:0.224178:0.724948:0.224178:0.708006:0.214061:0.708006:0.000000
−:@0.261236:0.724948:0.271352:0.724948:0.271352:0.708006:0.261236:0.708006:0.000000
(, ,)  y  :@0.128464:0.725363:0.195781:0.725363:0.195781:0.708974:0.128464:0.708974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(, ,01?:@0.227402:0.725363:0.289583:0.725592:0.289583:0.709203:0.227402:0.708974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)  :@0.277655:0.725363:0.290904:0.725363:0.290904:0.708974:0.277655:0.708974:0.000000:0.000000:0.000000
12:@0.132537:0.725363:0.152678:0.725363:0.152678:0.708974:0.132537:0.708974:0.000000:0.000000
3:@0.157396:0.725363:0.166388:0.725363:0.166388:0.708974:0.157396:0.708974:0.000000
2:@0.232617:0.725363:0.241610:0.725363:0.241610:0.708974:0.232617:0.708974:0.000000
a) :@0.101105:0.749311:0.119827:0.749311:0.119827:0.732411:0.101105:0.732411:0.000000:0.000000:0.000000
 5:@0.119827:0.749311:0.138587:0.749311:0.138587:0.732922:0.119827:0.732922:0.000000:0.000000
b):@0.101105:0.773030:0.117321:0.773030:0.117321:0.756129:0.101105:0.756129:0.000000:0.000000
 0:@0.117321:0.773030:0.138587:0.773030:0.138587:0.756641:0.117321:0.756641:0.000000:0.000000
c):@0.306757:0.749311:0.320578:0.749311:0.320578:0.732411:0.306757:0.732411:0.000000:0.000000
 1:@0.320578:0.749311:0.344239:0.749311:0.344239:0.732922:0.320578:0.732922:0.000000:0.000000
d):@0.306757:0.773030:0.323011:0.773030:0.323011:0.756129:0.306757:0.756129:0.000000:0.000000
 –1:@0.323011:0.773030:0.353453:0.773030:0.353453:0.756641:0.323011:0.756641:0.000000:0.000000:0.000000
6.:@0.072597:0.800317:0.086823:0.800317:0.086823:0.783417:0.072597:0.783417:0.000000:0.000000
  Si dos planos son perpendiculares, ¿qué ocurre:@0.086823:0.800317:0.436803:0.800317:0.436803:0.783928:0.086823:0.783928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con sus vectores normales?:@0.101086:0.816914:0.297450:0.816914:0.297450:0.800525:0.101086:0.800525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.101086:0.844201:0.119809:0.844201:0.119809:0.827300:0.101086:0.827300:0.000000:0.000000:0.000000
  Tienen igual magnitud:@0.119809:0.844201:0.296108:0.844201:0.296108:0.827812:0.119809:0.827812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.101086:0.867920:0.117303:0.867920:0.117303:0.851019:0.101086:0.851019:0.000000:0.000000
  Son paralelos:@0.117303:0.867920:0.227706:0.867920:0.227706:0.851531:0.117303:0.851531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.101086:0.891639:0.114907:0.891639:0.114907:0.874738:0.101086:0.874738:0.000000:0.000000
  Forman un ángulo agudo:@0.114907:0.891639:0.317705:0.891639:0.317705:0.875250:0.114907:0.875250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.101086:0.915358:0.117340:0.915358:0.117340:0.898457:0.101086:0.898457:0.000000:0.000000
  Su producto punto es cero:@0.117340:0.915358:0.326106:0.915358:0.326106:0.898969:0.117340:0.898969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000