56:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
M.5.2.21. Determinar la ecuación vectorial de un plano a partir de un punto del plano y dos vectores dirección; a partir de tres puntos del plano; a partir de una recta :@0.148948:0.939630:0.888486:0.939630:0.888486:0.929588:0.148948:0.929588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contenida en el plano y un punto. :@0.148948:0.948432:0.297712:0.948432:0.297712:0.938389:0.148948:0.938389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.22. Determinar la ecuación de la recta formada como intersección de dos planos como solución del sistema de ecuaciones planteado por las ecuaciones de los planos.:@0.148948:0.957233:0.885892:0.957233:0.885892:0.947191:0.148948:0.947191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones del plano:@0.404235:0.120964:0.656827:0.120964:0.656827:0.076304:0.404235:0.076304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación vectorial del plano:@0.404806:0.154588:0.632977:0.154588:0.632977:0.136729:0.404806:0.136729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404806:0.178429:0.485690:0.178429:0.485690:0.161314:0.404806:0.161314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean :@0.485692:0.177962:0.530874:0.177962:0.530874:0.161299:0.485692:0.161299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.534277:0.177982:0.574546:0.177982:0.574546:0.161513:0.534277:0.161513:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.544171:0.177866:0.563469:0.177866:0.563469:0.161368:0.544171:0.161368:0.000000:0.000000:0.000000
3:@0.609977:0.169830:0.614895:0.169830:0.614895:0.160281:0.609977:0.160281:0.000000
,:@0.617777:0.177866:0.620532:0.177866:0.620532:0.161368:0.617777:0.161368:0.000000
=:@0.550977:0.204702:0.561785:0.204702:0.561785:0.188204:0.550977:0.188204:0.000000
x a ub vc u vx a ub vc u v:@0.573961:0.204817:0.838668:0.205656:0.838668:0.189187:0.573961:0.188349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.585058:0.204702:0.595866:0.204702:0.595866:0.188204:0.585058:0.188204:0.000000
+:@0.608877:0.204673:0.623865:0.204673:0.623865:0.187279:0.608877:0.187279:0.000000
+:@0.645000:0.204673:0.659988:0.204673:0.659988:0.187279:0.645000:0.187279:0.000000
| , =:@0.679133:0.204702:0.693655:0.205540:0.693655:0.189043:0.679133:0.188204:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.563699:0.210164:0.573332:0.210164:0.573332:0.179550:0.563699:0.179550:0.000000
}:@0.738762:0.210164:0.748395:0.210164:0.748395:0.179550:0.738762:0.179550:0.000000
,:@0.749651:0.204702:0.752405:0.204702:0.752405:0.188204:0.749651:0.188204:0.000000
 tal que :@0.621017:0.177962:0.679099:0.177962:0.679099:0.161299:0.621017:0.161299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.666148:0.178820:0.706418:0.178820:0.706418:0.162352:0.666148:0.162352:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.676042:0.178705:0.695340:0.178705:0.695340:0.162207:0.676042:0.162207:0.000000:0.000000:0.000000
3:@0.741847:0.170669:0.746765:0.170669:0.746765:0.161120:0.741847:0.161120:0.000000
,:@0.749647:0.178705:0.752402:0.178705:0.752402:0.162207:0.749647:0.162207:0.000000
=:@0.716928:0.205540:0.727736:0.205540:0.727736:0.189043:0.716928:0.189043:0.000000
+:@0.740748:0.205512:0.755737:0.205512:0.755737:0.188117:0.740748:0.188117:0.000000
+:@0.776870:0.205512:0.791858:0.205512:0.791858:0.188117:0.776870:0.188117:0.000000
| ,:@0.811003:0.205540:0.830345:0.205540:0.830345:0.189043:0.811003:0.189043:0.000000:0.000000:0.000000
{:@0.695569:0.211002:0.705201:0.211002:0.705201:0.180389:0.695569:0.180389:0.000000
}:@0.870632:0.211002:0.880265:0.211002:0.880265:0.180389:0.870632:0.180389:0.000000
,:@0.881520:0.205540:0.884275:0.205540:0.884275:0.189043:0.881520:0.189043:0.000000
 no nulos y no colineales. :@0.712135:0.177962:0.895915:0.177962:0.895915:0.161299:0.712135:0.161299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto ∏ definido como::@0.404798:0.195486:0.617743:0.195486:0.617743:0.178824:0.404798:0.178824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.528773:0.196651:0.569043:0.196651:0.569043:0.180183:0.528773:0.180183:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.538667:0.196536:0.557965:0.196536:0.557965:0.180038:0.538667:0.180038:0.000000:0.000000:0.000000
3:@0.604473:0.188500:0.609390:0.188500:0.609390:0.178951:0.604473:0.178951:0.000000
,:@0.612274:0.196536:0.615029:0.196536:0.615029:0.180038:0.612274:0.180038:0.000000
=:@0.545472:0.223371:0.556280:0.223371:0.556280:0.206874:0.545472:0.206874:0.000000
x a ub vc u v:@0.568456:0.223487:0.701295:0.223487:0.701295:0.207018:0.568456:0.207018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.579553:0.223371:0.590361:0.223371:0.590361:0.206874:0.579553:0.206874:0.000000
+:@0.603374:0.223343:0.618362:0.223343:0.618362:0.205948:0.603374:0.205948:0.000000
+:@0.639497:0.223343:0.654485:0.223343:0.654485:0.205948:0.639497:0.205948:0.000000
| ,:@0.673630:0.223371:0.692972:0.223371:0.692972:0.206874:0.673630:0.206874:0.000000:0.000000:0.000000
{:@0.558194:0.228833:0.567827:0.228833:0.567827:0.198220:0.558194:0.198220:0.000000
}:@0.733257:0.228833:0.742890:0.228833:0.742890:0.198220:0.733257:0.198220:0.000000
,:@0.744146:0.223371:0.746901:0.223371:0.746901:0.206874:0.744146:0.206874:0.000000
se llama \plano que pasa por   y está generado por los vectores:@0.404806:0.251908:0.891753:0.251908:0.891753:0.235245:0.404806:0.235245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.631876:0.251554:0.672146:0.251554:0.672146:0.235085:0.631876:0.235085:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.641770:0.251438:0.661068:0.251438:0.661068:0.234941:0.641770:0.234941:0.000000:0.000000:0.000000
3:@0.707575:0.243401:0.712493:0.243401:0.712493:0.233852:0.707575:0.233852:0.000000
,:@0.715377:0.251438:0.718132:0.251438:0.718132:0.234941:0.715377:0.234941:0.000000
=:@0.648577:0.278273:0.659384:0.278273:0.659384:0.261775:0.648577:0.261775:0.000000
x a ub vc u v:@0.671560:0.278388:0.804397:0.278388:0.804397:0.261920:0.671560:0.261920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.682656:0.278273:0.693464:0.278273:0.693464:0.261775:0.682656:0.261775:0.000000
+:@0.706476:0.278244:0.721465:0.278244:0.721465:0.260850:0.706476:0.260850:0.000000
+:@0.742599:0.278244:0.757588:0.278244:0.757588:0.260850:0.742599:0.260850:0.000000
| ,:@0.776732:0.278273:0.796075:0.278273:0.796075:0.261775:0.776732:0.261775:0.000000:0.000000:0.000000
{:@0.661297:0.283736:0.670929:0.283736:0.670929:0.253122:0.661297:0.253122:0.000000
}:@0.836360:0.283736:0.845993:0.283736:0.845993:0.253122:0.836360:0.253122:0.000000
,:@0.847248:0.278273:0.850003:0.278273:0.850003:0.261775:0.847248:0.261775:0.000000
a b c b c:@0.391791:0.270388:0.444094:0.270237:0.444094:0.253769:0.391791:0.253919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, , , ,:@0.401685:0.270273:0.433018:0.270122:0.433018:0.253624:0.401685:0.253775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 3:@0.467490:0.262237:0.484442:0.262086:0.484442:0.252537:0.467490:0.252688:0.000000:0.000000:0.000000
, ,:@0.475290:0.270273:0.490080:0.270122:0.490080:0.253624:0.475290:0.253775:0.000000:0.000000:0.000000
==:@0.408490:0.297108:0.431332:0.296958:0.431332:0.280460:0.408490:0.280611:0.000000:0.000000
x a ub vc u v u v:@0.431473:0.297224:0.576345:0.297073:0.576345:0.280604:0.431473:0.280755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
==:@0.442571:0.297108:0.465413:0.296958:0.465413:0.280460:0.442571:0.280611:0.000000:0.000000
+ +:@0.466391:0.297079:0.493414:0.296929:0.493414:0.279534:0.466391:0.279685:0.000000:0.000000:0.000000
+ +:@0.502512:0.297079:0.529536:0.296929:0.529536:0.279534:0.502512:0.279685:0.000000:0.000000:0.000000
| , | ,:@0.536645:0.297108:0.568023:0.296958:0.568023:0.280460:0.536645:0.280611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{{:@0.421211:0.302570:0.442879:0.302419:0.442879:0.271806:0.421211:0.271957:0.000000:0.000000
}}:@0.596275:0.302570:0.617942:0.302419:0.617942:0.271806:0.596275:0.271957:0.000000:0.000000
, ,:@0.607163:0.297108:0.621953:0.296958:0.621953:0.280460:0.607163:0.280611:0.000000:0.000000:0.000000
 y  .:@0.418035:0.270580:0.454946:0.270580:0.454946:0.253917:0.418035:0.253917:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.403824:0.270237:0.412802:0.270237:0.412802:0.253769:0.403824:0.253769:0.000000
x a ub vc:@0.443508:0.297073:0.546759:0.297073:0.546759:0.280604:0.443508:0.280604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\:@0.447533:0.270697:0.452164:0.270697:0.452164:0.254063:0.447533:0.254063:0.000000
La ecuación :@0.404803:0.290309:0.495302:0.290309:0.495302:0.273647:0.404803:0.273647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a ub vc:@0.500115:0.290502:0.606329:0.290502:0.606329:0.273561:0.500115:0.273561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.511532:0.290383:0.522650:0.290383:0.522650:0.273412:0.511532:0.273412:0.000000
+:@0.536036:0.290353:0.551454:0.290353:0.551454:0.272461:0.536036:0.272461:0.000000
+:@0.573194:0.290353:0.588612:0.290353:0.588612:0.272461:0.573194:0.272461:0.000000
u v:@0.629578:0.290502:0.651575:0.290502:0.651575:0.273561:0.629578:0.273561:0.000000:0.000000:0.000000
,:@0.640180:0.290383:0.643014:0.290383:0.643014:0.273412:0.640180:0.273412:0.000000
   u, v:@0.607697:0.290420:0.653132:0.290420:0.653132:0.273786:0.607697:0.273786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.617621:0.290274:0.628440:0.290274:0.628440:0.272706:0.617621:0.272706:0.000000
∈:@0.653132:0.290274:0.666110:0.290274:0.666110:0.272706:0.653132:0.272706:0.000000
R :@0.666110:0.289953:0.685023:0.289325:0.685023:0.275743:0.666110:0.276371:0.000000:0.000000
se llama :@0.685918:0.290303:0.748164:0.290303:0.748164:0.273640:0.685918:0.273640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación vectorial :@0.748942:0.290770:0.895844:0.290770:0.895844:0.273655:0.748942:0.273655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del plano ∏:@0.404810:0.308295:0.494314:0.308295:0.494314:0.291179:0.404810:0.291179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la que los números reales :@0.494314:0.307827:0.704067:0.307827:0.704067:0.291165:0.494314:0.291165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u, v:@0.704067:0.307944:0.727980:0.307944:0.727980:0.291311:0.704067:0.291311:0.000000:0.000000:0.000000:0.000000
 se llaman parámetros.:@0.727986:0.307827:0.888164:0.307827:0.888164:0.291165:0.727986:0.291165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puesto que :@0.404806:0.331716:0.491825:0.331716:0.491825:0.315218:0.404806:0.315218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.498797:0.331921:0.539068:0.331921:0.539068:0.315452:0.498797:0.315452:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.508691:0.331805:0.527990:0.331805:0.527990:0.315307:0.508691:0.315307:0.000000:0.000000:0.000000
3:@0.571251:0.323769:0.576168:0.323769:0.576168:0.314220:0.571251:0.314220:0.000000
x a ub vc:@0.582559:0.331921:0.685812:0.331921:0.685812:0.315452:0.582559:0.315452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.593657:0.331805:0.604465:0.331805:0.604465:0.315307:0.593657:0.315307:0.000000
+:@0.617477:0.331776:0.632466:0.331776:0.632466:0.314382:0.617477:0.314382:0.000000
+:@0.653601:0.331776:0.668589:0.331776:0.668589:0.314382:0.653601:0.314382:0.000000
3:@0.717992:0.323769:0.722909:0.323769:0.722909:0.314220:0.717992:0.314220:0.000000
,:@0.725792:0.331805:0.728547:0.331805:0.728547:0.315307:0.725792:0.315307:0.000000
u v:@0.740711:0.331921:0.762096:0.331921:0.762096:0.315452:0.740711:0.315452:0.000000:0.000000:0.000000
,:@0.751018:0.331805:0.753773:0.331805:0.753773:0.315307:0.751018:0.315307:0.000000
,:@0.795262:0.331805:0.798017:0.331805:0.798017:0.315307:0.795262:0.315307:0.000000
 resulta que :@0.802015:0.331716:0.895914:0.331716:0.895914:0.315218:0.802015:0.315218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.457576:0.342917:0.462493:0.342917:0.462493:0.333368:0.457576:0.333368:0.000000
. De la definición del conjunto  se tiene la siguiente equiva-:@0.462960:0.350952:0.891752:0.350952:0.891752:0.334455:0.462960:0.334455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ :@0.681108:0.350989:0.697939:0.350989:0.697939:0.334327:0.681108:0.334327:0.000000:0.000000
lencia: :@0.404803:0.370183:0.452830:0.370183:0.452830:0.353685:0.404803:0.353685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.456551:0.370305:0.464025:0.370305:0.464025:0.353836:0.456551:0.353836:0.000000
  ,:@0.533454:0.370189:0.550504:0.370189:0.550504:0.353691:0.533454:0.353691:0.000000:0.000000:0.000000
u v:@0.537442:0.370305:0.558826:0.370305:0.558826:0.353836:0.537442:0.353836:0.000000:0.000000:0.000000
, tal que  =:@0.591198:0.370189:0.675088:0.370189:0.675088:0.353691:0.591198:0.353691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a ub vc:@0.653174:0.370305:0.750894:0.370305:0.750894:0.353836:0.653174:0.353836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.688936:0.370738:0.699513:0.370738:0.699513:0.351898:0.688936:0.351898:0.000000
+:@0.722285:0.370738:0.732862:0.370738:0.732862:0.351898:0.722285:0.351898:0.000000
.:@0.751654:0.370189:0.754409:0.370189:0.754409:0.353691:0.751654:0.353691:0.000000
 :@0.757727:0.370189:0.761869:0.370189:0.761869:0.353691:0.757727:0.353691:0.000000
Nota que para que :@0.404807:0.389680:0.545094:0.389680:0.545094:0.373182:0.404807:0.373182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.550049:0.390215:0.558267:0.390215:0.558267:0.372110:0.550049:0.372110:0.000000
 se debe hallar dos números reales :@0.592639:0.389676:0.842428:0.389676:0.842428:0.373178:0.592639:0.373178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u, v,:@0.843083:0.389792:0.869014:0.389792:0.869014:0.373323:0.843083:0.373323:0.000000:0.000000:0.000000:0.000000:0.000000
 tal :@0.868980:0.389676:0.895912:0.389676:0.895912:0.373178:0.868980:0.373178:0.000000:0.000000:0.000000:0.000000:0.000000
que :@0.404802:0.408906:0.435954:0.408906:0.435954:0.392409:0.404802:0.392409:0.000000:0.000000:0.000000:0.000000
x a ub vc:@0.439674:0.409028:0.537387:0.409028:0.537387:0.392560:0.439674:0.392560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.450773:0.408913:0.461580:0.408913:0.461580:0.392415:0.450773:0.392415:0.000000
+:@0.475429:0.409462:0.486005:0.409462:0.486005:0.390622:0.475429:0.390622:0.000000
+:@0.508778:0.409462:0.519354:0.409462:0.519354:0.390622:0.508778:0.390622:0.000000
.:@0.541497:0.408913:0.544252:0.408913:0.544252:0.392415:0.541497:0.392415:0.000000
Su negación se expresa como::@0.404810:0.426263:0.616743:0.426263:0.616743:0.409766:0.404810:0.409766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.498720:0.445616:0.506195:0.445616:0.506195:0.429147:0.498720:0.429147:0.000000
u v:@0.578505:0.445616:0.599889:0.445616:0.599889:0.429147:0.578505:0.429147:0.000000:0.000000:0.000000
,:@0.588812:0.445500:0.591567:0.445500:0.591567:0.429002:0.588812:0.429002:0.000000
 se tiene :@0.631903:0.445500:0.693321:0.445500:0.693321:0.429002:0.631903:0.429002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a ub vc:@0.695035:0.445616:0.793955:0.445616:0.793955:0.429147:0.695035:0.429147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.731997:0.446050:0.742573:0.446050:0.742573:0.427210:0.731997:0.427210:0.000000
+:@0.765346:0.446050:0.775922:0.446050:0.775922:0.427210:0.765346:0.427210:0.000000
.:@0.794714:0.445500:0.797469:0.445500:0.797469:0.429002:0.794714:0.429002:0.000000
En la Figura 2.7. se muestran los vectores:@0.404806:0.466830:0.690795:0.466830:0.690795:0.450333:0.404806:0.450333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.690793:0.466867:0.694976:0.466867:0.694976:0.450204:0.690793:0.450204:0.000000
a b c:@0.681961:0.467639:0.722232:0.467639:0.722232:0.451170:0.681961:0.451170:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.691855:0.467523:0.711154:0.467523:0.711154:0.451025:0.691855:0.451025:0.000000:0.000000:0.000000
3:@0.757661:0.459487:0.762579:0.459487:0.762579:0.449938:0.757661:0.449938:0.000000
,:@0.765461:0.467523:0.768216:0.467523:0.768216:0.451025:0.765461:0.451025:0.000000
=:@0.698661:0.494359:0.709469:0.494359:0.709469:0.477861:0.698661:0.477861:0.000000
x a ub vc u v:@0.721645:0.494474:0.854482:0.494474:0.854482:0.478006:0.721645:0.478006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.732742:0.494359:0.743550:0.494359:0.743550:0.477861:0.732742:0.477861:0.000000
+:@0.756563:0.494330:0.771551:0.494330:0.771551:0.476936:0.756563:0.476936:0.000000
+:@0.792684:0.494330:0.807672:0.494330:0.807672:0.476936:0.792684:0.476936:0.000000
| ,:@0.826817:0.494359:0.846159:0.494359:0.846159:0.477861:0.826817:0.477861:0.000000:0.000000:0.000000
{:@0.711383:0.499821:0.721016:0.499821:0.721016:0.469207:0.711383:0.469207:0.000000
}:@0.886446:0.499821:0.896079:0.499821:0.896079:0.469207:0.886446:0.469207:0.000000
,:@0.897335:0.494359:0.900090:0.494359:0.900090:0.477861:0.897335:0.477861:0.000000
 :@0.727949:0.466867:0.732133:0.466867:0.732133:0.450204:0.727949:0.450204:0.000000
no nulos y no colinea-:@0.732133:0.466830:0.889934:0.466830:0.889934:0.450333:0.732133:0.450333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les, el vector:@0.404797:0.486061:0.491719:0.486061:0.491719:0.469563:0.404797:0.469563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.491727:0.486104:0.514630:0.486104:0.514630:0.469441:0.491727:0.469441:0.000000:0.000000:0.000000
a b c:@0.497973:0.486215:0.538244:0.486215:0.538244:0.469747:0.497973:0.469747:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.507867:0.486100:0.527166:0.486100:0.527166:0.469602:0.507867:0.469602:0.000000:0.000000:0.000000
3:@0.573673:0.478064:0.578591:0.478064:0.578591:0.468515:0.573673:0.468515:0.000000
, =:@0.581473:0.486100:0.605103:0.486067:0.605103:0.469569:0.581473:0.469602:0.000000:0.000000:0.000000
=:@0.514673:0.512935:0.525481:0.512935:0.525481:0.496438:0.514673:0.496438:0.000000
x a ub vc u v:@0.537656:0.513051:0.670494:0.513051:0.670494:0.496582:0.537656:0.496582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.548754:0.512935:0.559562:0.512935:0.559562:0.496438:0.548754:0.496438:0.000000
+:@0.572574:0.512907:0.587563:0.512907:0.587563:0.495512:0.572574:0.495512:0.000000
+:@0.608696:0.512907:0.623684:0.512907:0.623684:0.495512:0.608696:0.495512:0.000000
| ,:@0.642829:0.512935:0.662171:0.512935:0.662171:0.496438:0.642829:0.496438:0.000000:0.000000:0.000000
{:@0.527395:0.518397:0.537027:0.518397:0.537027:0.487784:0.527395:0.487784:0.000000
}:@0.702458:0.518397:0.712091:0.518397:0.712091:0.487784:0.702458:0.487784:0.000000
,:@0.713346:0.512935:0.716101:0.512935:0.716101:0.496438:0.713346:0.496438:0.000000
el vector :@0.514629:0.486067:0.580264:0.486067:0.580264:0.469569:0.514629:0.469569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v ub vc:@0.583197:0.486183:0.656305:0.486183:0.656305:0.469714:0.583197:0.469714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.627696:0.486616:0.638273:0.486616:0.638273:0.467776:0.627696:0.467776:0.000000
,:@0.657799:0.486067:0.660554:0.486067:0.660554:0.469569:0.657799:0.469569:0.000000
 y el vector :@0.664027:0.486067:0.745768:0.486067:0.745768:0.469569:0.664027:0.469569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a v:@0.749485:0.486183:0.805701:0.486183:0.805701:0.469714:0.749485:0.469714:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.760583:0.486067:0.771391:0.486067:0.771391:0.469569:0.760583:0.469569:0.000000
+:@0.785241:0.486616:0.795818:0.486616:0.795818:0.467776:0.785241:0.467776:0.000000
.:@0.839058:0.486067:0.841813:0.486067:0.841813:0.469569:0.839058:0.469569:0.000000
Ecuación paramétrica del plano:@0.404806:0.515098:0.661299:0.515098:0.661299:0.497238:0.404806:0.497238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404806:0.536913:0.442982:0.536913:0.442982:0.520250:0.404806:0.520250:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.445834:0.536991:0.453986:0.536991:0.453986:0.520523:0.445834:0.520523:0.000000
=( , , ),:@0.456293:0.536876:0.530864:0.536876:0.530864:0.520378:0.456293:0.520378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.473647:0.536991:0.517977:0.536991:0.517977:0.520523:0.473647:0.520523:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.481012:0.539095:0.485478:0.539095:0.485478:0.529546:0.481012:0.529546:0.000000
2:@0.498790:0.539095:0.503255:0.539095:0.503255:0.529546:0.498790:0.529546:0.000000
3:@0.517616:0.539095:0.522082:0.539095:0.522082:0.529546:0.517616:0.529546:0.000000
b:@0.536895:0.536991:0.545888:0.536991:0.545888:0.520523:0.536895:0.520523:0.000000
=( , , ),:@0.548479:0.536876:0.627267:0.536876:0.627267:0.520378:0.548479:0.520378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b b b:@0.566615:0.536991:0.613667:0.536991:0.613667:0.520523:0.566615:0.520523:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.574595:0.539095:0.579367:0.539095:0.579367:0.529546:0.574595:0.529546:0.000000
2:@0.593292:0.539095:0.598064:0.539095:0.598064:0.529546:0.593292:0.529546:0.000000
3:@0.613107:0.539095:0.617879:0.539095:0.617879:0.529546:0.613107:0.529546:0.000000
c:@0.632677:0.536991:0.639252:0.536991:0.639252:0.520523:0.632677:0.520523:0.000000
=( , , ),:@0.642114:0.536876:0.713956:0.536876:0.713956:0.520378:0.642114:0.520378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c c c:@0.659601:0.536991:0.700431:0.536991:0.700431:0.520523:0.659601:0.520523:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.665922:0.539095:0.670422:0.539095:0.670422:0.529546:0.665922:0.529546:0.000000
2:@0.682736:0.539095:0.687236:0.539095:0.687236:0.529546:0.682736:0.529546:0.000000
3:@0.700605:0.539095:0.705104:0.539095:0.705104:0.529546:0.700605:0.529546:0.000000
x:@0.719372:0.536991:0.726847:0.536991:0.726847:0.520523:0.719372:0.520523:0.000000
=( , , ):@0.730471:0.536876:0.792081:0.536876:0.792081:0.520378:0.730471:0.520378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.750314:0.536991:0.786070:0.536991:0.786070:0.520523:0.750314:0.520523:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.796066:0.536913:0.800250:0.536913:0.800250:0.520250:0.796066:0.520250:0.000000
vectores :@0.800249:0.536876:0.864075:0.536876:0.864075:0.520378:0.800249:0.520378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  , con:@0.404811:0.555166:0.479515:0.555159:0.479515:0.538662:0.404811:0.538669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.426812:0.554198:0.440721:0.554198:0.440721:0.540751:0.426812:0.540751:0.000000
3:@0.440715:0.548808:0.445668:0.548808:0.445668:0.539190:0.440715:0.539190:0.000000
 :@0.479516:0.555196:0.483700:0.555196:0.483700:0.538534:0.479516:0.538534:0.000000
a b c:@0.470685:0.555241:0.510954:0.555241:0.510954:0.538772:0.470685:0.538772:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.480579:0.555125:0.499876:0.555125:0.499876:0.538628:0.480579:0.538628:0.000000:0.000000:0.000000
3:@0.546385:0.547090:0.551303:0.547090:0.551303:0.537541:0.546385:0.537541:0.000000
,:@0.554185:0.555125:0.556940:0.555125:0.556940:0.538628:0.554185:0.538628:0.000000
=:@0.487385:0.581961:0.498193:0.581961:0.498193:0.565464:0.487385:0.565464:0.000000
x a ub vc u v:@0.510368:0.582077:0.643206:0.582077:0.643206:0.565608:0.510368:0.565608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.521466:0.581961:0.532274:0.581961:0.532274:0.565464:0.521466:0.565464:0.000000
+:@0.545285:0.581932:0.560273:0.581932:0.560273:0.564538:0.545285:0.564538:0.000000
+:@0.581408:0.581932:0.596396:0.581932:0.596396:0.564538:0.581408:0.564538:0.000000
| ,:@0.615541:0.581961:0.634883:0.581961:0.634883:0.565464:0.615541:0.565464:0.000000:0.000000:0.000000
{:@0.500107:0.587423:0.509739:0.587423:0.509739:0.556810:0.500107:0.556810:0.000000
}:@0.675170:0.587423:0.684803:0.587423:0.684803:0.556810:0.675170:0.556810:0.000000
,:@0.686058:0.581961:0.688813:0.581961:0.688813:0.565464:0.686058:0.565464:0.000000
 :@0.516673:0.555196:0.520857:0.555196:0.520857:0.538534:0.516673:0.538534:0.000000
no nulos y no colineales. De la definición del plano :@0.520856:0.555159:0.884773:0.555159:0.884773:0.538662:0.520856:0.538662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ y de la definición de las operaciones de adición y producto por :@0.404802:0.572510:0.873291:0.572510:0.873291:0.556012:0.404802:0.556012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalares:@0.404802:0.590078:0.469861:0.590078:0.469861:0.573363:0.404802:0.573363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en  , se tiene: :@0.469861:0.589861:0.582623:0.589861:0.582623:0.573363:0.469861:0.573363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.495696:0.588892:0.509605:0.588892:0.509605:0.575445:0.495696:0.575445:0.000000
3:@0.509607:0.583509:0.514560:0.583509:0.514560:0.573891:0.509607:0.573891:0.000000
x:@0.471078:0.609213:0.478553:0.609213:0.478553:0.592744:0.471078:0.592744:0.000000
=( , , ):@0.482177:0.609098:0.543787:0.609098:0.543787:0.592600:0.482177:0.592600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.502020:0.609213:0.537776:0.609213:0.537776:0.592744:0.502020:0.592744:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.612009:0.609213:0.633394:0.609213:0.633394:0.592744:0.612009:0.592744:0.000000:0.000000:0.000000
,:@0.622316:0.609098:0.625071:0.609098:0.625071:0.592600:0.622316:0.592600:0.000000
, tal que  =:@0.665773:0.609098:0.748877:0.609098:0.748877:0.592600:0.665773:0.592600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a ub vc:@0.726979:0.609213:0.824684:0.609213:0.824684:0.592744:0.726979:0.592744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.762727:0.609647:0.773304:0.609647:0.773304:0.590807:0.762727:0.590807:0.000000
+:@0.796075:0.609647:0.806651:0.609647:0.806651:0.590807:0.796075:0.590807:0.000000
( , , )=( , , ):@0.494218:0.630878:0.625134:0.630878:0.625134:0.614380:0.494218:0.614380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.500923:0.630993:0.536678:0.630993:0.536678:0.614525:0.500923:0.614525:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.564537:0.630993:0.613350:0.630993:0.613350:0.614525:0.564537:0.614525:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.572640:0.633097:0.577557:0.633097:0.577557:0.623548:0.572640:0.623548:0.000000
2:@0.592220:0.633097:0.597137:0.633097:0.597137:0.623548:0.592220:0.623548:0.000000
3:@0.612951:0.633097:0.617868:0.633097:0.617868:0.623548:0.612951:0.623548:0.000000
+:@0.627452:0.631514:0.638028:0.631514:0.638028:0.615233:0.627452:0.615233:0.000000
u b b b:@0.640128:0.630993:0.703311:0.630993:0.703311:0.614525:0.640128:0.614525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , , ):@0.649292:0.630878:0.714915:0.630878:0.714915:0.614380:0.649292:0.614380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.663051:0.633097:0.667968:0.633097:0.667968:0.623548:0.663051:0.623548:0.000000
2:@0.682316:0.633097:0.687233:0.633097:0.687233:0.623548:0.682316:0.623548:0.000000
3:@0.702734:0.633097:0.707651:0.633097:0.707651:0.623548:0.702734:0.623548:0.000000
+:@0.717235:0.631514:0.727811:0.631514:0.727811:0.615233:0.717235:0.615233:0.000000
v c c c:@0.729911:0.630993:0.788818:0.630993:0.788818:0.614525:0.729911:0.614525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , , ):@0.738225:0.630878:0.801190:0.630878:0.801190:0.614380:0.738225:0.614380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.751106:0.633097:0.756024:0.633097:0.756024:0.623548:0.751106:0.623548:0.000000
2:@0.769480:0.633097:0.774398:0.633097:0.774398:0.623548:0.769480:0.623548:0.000000
3:@0.789009:0.633097:0.793926:0.633097:0.793926:0.623548:0.789009:0.623548:0.000000
=:@0.493974:0.657687:0.504782:0.657687:0.504782:0.641190:0.493974:0.641190:0.000000
a:@0.514241:0.657803:0.523218:0.657803:0.523218:0.641334:0.514241:0.641334:0.000000
1:@0.522347:0.659906:0.527265:0.659906:0.527265:0.650357:0.522347:0.650357:0.000000
+:@0.530410:0.658323:0.540987:0.658323:0.540987:0.642043:0.530410:0.642043:0.000000
ub:@0.543087:0.657803:0.561158:0.657803:0.561158:0.641334:0.543087:0.641334:0.000000:0.000000
1:@0.560092:0.659906:0.565010:0.659906:0.565010:0.650357:0.560092:0.650357:0.000000
+:@0.568155:0.658323:0.578732:0.658323:0.578732:0.642043:0.568155:0.642043:0.000000
vc a:@0.580832:0.657803:0.615302:0.657803:0.615302:0.641334:0.580832:0.641334:0.000000:0.000000:0.000000:0.000000
1:@0.595326:0.659906:0.600243:0.659906:0.600243:0.650357:0.595326:0.650357:0.000000
,:@0.602183:0.657687:0.604937:0.657687:0.604937:0.641190:0.602183:0.641190:0.000000
2:@0.614904:0.659906:0.619822:0.659906:0.619822:0.650357:0.614904:0.650357:0.000000
+:@0.624118:0.658323:0.634695:0.658323:0.634695:0.642043:0.624118:0.642043:0.000000
ub:@0.636795:0.657803:0.654865:0.657803:0.654865:0.641334:0.636795:0.641334:0.000000:0.000000
2:@0.654272:0.659906:0.659190:0.659906:0.659190:0.650357:0.654272:0.650357:0.000000
+:@0.663486:0.658323:0.674063:0.658323:0.674063:0.642043:0.663486:0.642043:0.000000
vc a:@0.676163:0.657803:0.712257:0.657803:0.712257:0.641334:0.676163:0.641334:0.000000:0.000000:0.000000:0.000000
2:@0.691128:0.659906:0.696045:0.659906:0.696045:0.650357:0.691128:0.650357:0.000000
,:@0.699137:0.657687:0.701892:0.657687:0.701892:0.641190:0.699137:0.641190:0.000000
3:@0.711859:0.659906:0.716776:0.659906:0.716776:0.650357:0.711859:0.650357:0.000000
+:@0.720863:0.658323:0.731440:0.658323:0.731440:0.642043:0.720863:0.642043:0.000000
ub:@0.733540:0.657803:0.751611:0.657803:0.751611:0.641334:0.733540:0.641334:0.000000:0.000000
3:@0.751017:0.659906:0.755935:0.659906:0.755935:0.650357:0.751017:0.650357:0.000000
+:@0.760022:0.658323:0.770599:0.658323:0.770599:0.642043:0.760022:0.642043:0.000000
vc:@0.772698:0.657803:0.787475:0.657803:0.787475:0.641334:0.772698:0.641334:0.000000:0.000000
3:@0.787663:0.659906:0.792581:0.659906:0.792581:0.650357:0.787663:0.650357:0.000000
(:@0.506694:0.661574:0.513109:0.661574:0.513109:0.637641:0.506694:0.637641:0.000000
):@0.795095:0.661574:0.801510:0.661574:0.801510:0.637641:0.795095:0.637641:0.000000
,:@0.803159:0.657687:0.805914:0.657687:0.805914:0.641190:0.803159:0.641190:0.000000
.:@0.802385:0.657724:0.805168:0.657724:0.805168:0.641061:0.802385:0.641061:0.000000
De la definición de igualdad de elementos de :@0.404806:0.682166:0.735974:0.682166:0.735974:0.665668:0.404806:0.665668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.736918:0.681197:0.750827:0.681197:0.750827:0.667750:0.736918:0.667750:0.000000
3:@0.750838:0.675814:0.755791:0.675814:0.755791:0.666196:0.750838:0.666196:0.000000
, la última igualdad :@0.755792:0.682166:0.895908:0.682166:0.895908:0.665668:0.755792:0.665668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891766:0.682166:0.895908:0.682166:0.895908:0.665668:0.891766:0.665668:0.000000
se expresa como el sistema de ecuaciones lineales::@0.404798:0.699516:0.758986:0.699516:0.758986:0.683019:0.404798:0.683019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.604010:0.719790:0.634284:0.719790:0.634284:0.704968:0.604010:0.704968:0.000000:0.000000:0.000000
=:@0.613997:0.719686:0.623724:0.719686:0.623724:0.704838:0.613997:0.704838:0.000000
1:@0.633504:0.721683:0.637930:0.721683:0.637930:0.713089:0.633504:0.713089:0.000000
+:@0.640760:0.720258:0.650279:0.720258:0.650279:0.705605:0.640760:0.705605:0.000000
ub:@0.652169:0.719790:0.668433:0.719790:0.668433:0.704968:0.652169:0.704968:0.000000:0.000000
1:@0.667475:0.721683:0.671901:0.721683:0.671901:0.713089:0.667475:0.713089:0.000000
+:@0.674732:0.720258:0.684251:0.720258:0.684251:0.705605:0.674732:0.705605:0.000000
vc:@0.686141:0.719790:0.699440:0.719790:0.699440:0.704968:0.686141:0.704968:0.000000:0.000000
1:@0.699184:0.721683:0.703610:0.721683:0.703610:0.713089:0.699184:0.713089:0.000000
,:@0.705357:0.719686:0.707837:0.719686:0.707837:0.704838:0.705357:0.704838:0.000000
y a:@0.604394:0.740624:0.634667:0.740624:0.634667:0.725802:0.604394:0.725802:0.000000:0.000000:0.000000
=:@0.614381:0.740520:0.624108:0.740520:0.624108:0.725672:0.614381:0.725672:0.000000
2:@0.634305:0.742510:0.638731:0.742510:0.638731:0.733916:0.634305:0.733916:0.000000
+:@0.642598:0.741085:0.652117:0.741085:0.652117:0.726433:0.642598:0.726433:0.000000
ub:@0.654007:0.740617:0.670270:0.740617:0.670270:0.725795:0.654007:0.725795:0.000000:0.000000
2:@0.669737:0.742510:0.674162:0.742510:0.674162:0.733916:0.669737:0.733916:0.000000
+:@0.678029:0.741085:0.687548:0.741085:0.687548:0.726433:0.678029:0.726433:0.000000
vc:@0.689438:0.740617:0.702737:0.740617:0.702737:0.725795:0.689438:0.725795:0.000000:0.000000
2:@0.702906:0.742510:0.707332:0.742510:0.707332:0.733916:0.702906:0.733916:0.000000
,:@0.710115:0.740513:0.712594:0.740513:0.712594:0.725665:0.710115:0.725665:0.000000
z a:@0.604002:0.761451:0.633200:0.761451:0.633200:0.746629:0.604002:0.746629:0.000000:0.000000:0.000000
=:@0.612914:0.761347:0.622641:0.761347:0.622641:0.746499:0.612914:0.746499:0.000000
3:@0.632844:0.763338:0.637270:0.763338:0.637270:0.754744:0.632844:0.754744:0.000000
+:@0.640949:0.761914:0.650468:0.761914:0.650468:0.747261:0.640949:0.747261:0.000000
ub:@0.652358:0.761445:0.668622:0.761445:0.668622:0.746624:0.652358:0.746624:0.000000:0.000000
3:@0.668088:0.763338:0.672514:0.763338:0.672514:0.754744:0.668088:0.754744:0.000000
+:@0.676191:0.761914:0.685710:0.761914:0.685710:0.747261:0.676191:0.747261:0.000000
vc:@0.687600:0.761445:0.700899:0.761445:0.700899:0.746624:0.687600:0.746624:0.000000:0.000000
3:@0.701069:0.763338:0.705494:0.763338:0.705494:0.754744:0.701069:0.754744:0.000000
,:@0.708089:0.761341:0.710569:0.761341:0.710569:0.746493:0.708089:0.746493:0.000000
que se conoce con el nombre de :@0.404806:0.786420:0.634929:0.786420:0.634929:0.769922:0.404806:0.769922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación paramétrica del plano :@0.634197:0.786882:0.876571:0.786882:0.876571:0.769937:0.634197:0.769937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.875902:0.786924:0.889114:0.786924:0.889114:0.769809:0.875902:0.769809:0.000000
. :@0.889015:0.786420:0.895912:0.786420:0.895912:0.769922:0.889015:0.769922:0.000000:0.000000
Los números reales  ,   se llaman parámetros. De estas tres ecuacio-:@0.404802:0.803771:0.891749:0.803771:0.891749:0.787273:0.404802:0.787273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.545805:0.803886:0.570387:0.803886:0.570387:0.787417:0.545805:0.787417:0.000000:0.000000:0.000000
nes podemos obtener la ecuación cartesiana que representa al plano :@0.404802:0.821121:0.895868:0.821121:0.895868:0.804624:0.404802:0.804624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.404806:0.838682:0.417453:0.838682:0.417453:0.822020:0.404806:0.822020:0.000000
, eliminando los parámetros  ,  .:@0.417452:0.838646:0.644665:0.838646:0.644665:0.822148:0.417452:0.822148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.618021:0.838761:0.641910:0.838761:0.641910:0.822292:0.618021:0.822292:0.000000:0.000000:0.000000
Dados :@0.404814:0.864527:0.454807:0.864527:0.454807:0.848029:0.404814:0.848029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.457728:0.864527:0.484399:0.864527:0.484399:0.848058:0.457728:0.848058:0.000000:0.000000:0.000000
,:@0.468043:0.864411:0.470798:0.864411:0.470798:0.847914:0.468043:0.847914:0.000000
3:@0.516571:0.856374:0.521489:0.856374:0.521489:0.846826:0.516571:0.846826:0.000000
,:@0.524373:0.864411:0.527128:0.864411:0.527128:0.847914:0.524373:0.847914:0.000000
 tal que:@0.530182:0.864522:0.583468:0.864522:0.583468:0.848024:0.530182:0.848024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.583470:0.864559:0.587653:0.864559:0.587653:0.847896:0.583470:0.847896:0.000000
a b c:@0.574638:0.864732:0.614908:0.864732:0.614908:0.848263:0.574638:0.848263:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.584532:0.864616:0.603830:0.864616:0.603830:0.848119:0.584532:0.848119:0.000000:0.000000:0.000000
3:@0.650337:0.856581:0.655255:0.856581:0.655255:0.847032:0.650337:0.847032:0.000000
,:@0.658139:0.864616:0.660894:0.864616:0.660894:0.848119:0.658139:0.848119:0.000000
=:@0.591339:0.891452:0.602146:0.891452:0.602146:0.874955:0.591339:0.874955:0.000000
x a ub vc u v:@0.614322:0.891568:0.747159:0.891568:0.747159:0.875099:0.614322:0.875099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.625418:0.891452:0.636226:0.891452:0.636226:0.874955:0.625418:0.874955:0.000000
+:@0.649238:0.891423:0.664227:0.891423:0.664227:0.874029:0.649238:0.874029:0.000000
+:@0.685362:0.891423:0.700350:0.891423:0.700350:0.874029:0.685362:0.874029:0.000000
| ,:@0.719495:0.891452:0.738837:0.891452:0.738837:0.874955:0.719495:0.874955:0.000000:0.000000:0.000000
{:@0.604059:0.896914:0.613691:0.896914:0.613691:0.866300:0.604059:0.866300:0.000000
}:@0.779122:0.896914:0.788755:0.896914:0.788755:0.866300:0.779122:0.866300:0.000000
,:@0.790010:0.891452:0.792765:0.891452:0.792765:0.874955:0.790010:0.874955:0.000000
 :@0.620627:0.864559:0.624810:0.864559:0.624810:0.847896:0.620627:0.847896:0.000000
no nulos y no colineales, el conjunto:@0.624810:0.864522:0.883637:0.864522:0.883637:0.848024:0.624810:0.848024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.425327:0.885016:0.436135:0.885016:0.436135:0.868518:0.425327:0.868518:0.000000
x ub vc u v:@0.448311:0.885132:0.550994:0.885132:0.550994:0.868663:0.448311:0.868663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.459409:0.885016:0.470216:0.885016:0.470216:0.868518:0.459409:0.868518:0.000000
+:@0.492808:0.885565:0.503384:0.885565:0.503384:0.866725:0.492808:0.866725:0.000000
| ,:@0.523329:0.885016:0.542671:0.885016:0.542671:0.868518:0.523329:0.868518:0.000000:0.000000:0.000000
{:@0.438049:0.891148:0.447297:0.891148:0.447297:0.857613:0.438049:0.857613:0.000000
}:@0.582173:0.891148:0.591420:0.891148:0.591420:0.857613:0.582173:0.857613:0.000000
3:@0.625937:0.876979:0.630855:0.876979:0.630855:0.867430:0.625937:0.867430:0.000000
 representa un plano que pasa por :@0.634314:0.885016:0.895895:0.885016:0.895895:0.868518:0.634314:0.868518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el origen.:@0.404807:0.902367:0.467958:0.902367:0.467958:0.885869:0.404807:0.885869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.200167:0.363493:0.200167:0.363493:0.184694:0.199646:0.184694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Son las ecuaciones de :@0.199884:0.228794:0.350013:0.228794:0.350013:0.213731:0.199884:0.213731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los planos dependientes de dos :@0.153341:0.244636:0.360776:0.244636:0.360776:0.229573:0.153341:0.229573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parámetros?:@0.153341:0.260478:0.232548:0.260478:0.232548:0.245415:0.153341:0.245415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.101880:0.307805:0.101880:0.307805:0.086407:0.199646:0.086407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un plano en el :@0.199884:0.130507:0.350929:0.130507:0.350929:0.115444:0.199884:0.115444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espacio?:@0.153341:0.146349:0.207131:0.146349:0.207131:0.131286:0.153341:0.131286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vectores generado-:@0.199884:0.345321:0.349610:0.345321:0.349610:0.330258:0.199884:0.330258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res del plano  no son únicos, :@0.153341:0.362839:0.353866:0.362845:0.353866:0.347782:0.153341:0.347776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ :@0.239394:0.363203:0.256225:0.363203:0.256225:0.346540:0.239394:0.346540:0.000000:0.000000
lo que significa que un mismo :@0.153341:0.380364:0.351757:0.380364:0.351757:0.365301:0.153341:0.365301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano  puede tener una infini-:@0.153341:0.397882:0.360219:0.397894:0.360219:0.382831:0.153341:0.382819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ :@0.194154:0.398251:0.210986:0.398251:0.210986:0.381588:0.194154:0.381588:0.000000:0.000000
dad de ecuaciones vectoriales.:@0.153343:0.413736:0.349398:0.413736:0.349398:0.398673:0.153343:0.398673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199640:0.316690:0.309400:0.316690:0.309400:0.301218:0.199640:0.301218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.301363:0.645730:0.312843:0.645730:0.312843:0.635705:0.301363:0.635705:0.000000
 Figura 2.7.:@0.312843:0.646438:0.364293:0.646438:0.364293:0.634961:0.312843:0.634961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.166057:0.627924:0.171836:0.627924:0.171836:0.615430:0.166057:0.615430:0.000000
x:@0.225202:0.562163:0.230980:0.562163:0.230980:0.549670:0.225202:0.549670:0.000000
y:@0.331805:0.598632:0.337770:0.598632:0.337770:0.586139:0.331805:0.586139:0.000000
z:@0.185141:0.442393:0.190403:0.442393:0.190403:0.429900:0.185141:0.429900:0.000000
b:@0.265319:0.577422:0.272403:0.577422:0.272403:0.564929:0.265319:0.564929:0.000000
a:@0.205838:0.542172:0.212763:0.542172:0.212763:0.529679:0.205838:0.529679:0.000000
c:@0.169200:0.575336:0.174677:0.575336:0.174677:0.562842:0.169200:0.562842:0.000000
b:@0.265309:0.522099:0.272391:0.522099:0.272391:0.509606:0.265309:0.509606:0.000000
c:@0.217640:0.490295:0.223117:0.490295:0.223117:0.477801:0.217640:0.477801:0.000000
v:@0.251061:0.483670:0.257083:0.483670:0.257083:0.471176:0.251061:0.471176:0.000000
plano:@0.310223:0.543754:0.341276:0.543754:0.341276:0.531122:0.310223:0.531122:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.341275:0.544042:0.344579:0.544042:0.344579:0.531189:0.341275:0.531189:0.000000
ΙΙ:@0.344579:0.544241:0.354403:0.544241:0.354403:0.531775:0.344579:0.531775:0.000000:0.000000
Glosario:@0.199646:0.743284:0.267111:0.743284:0.267111:0.725601:0.199646:0.725601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalares::@0.199884:0.770097:0.260972:0.770097:0.260972:0.754836:0.199884:0.754836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dicho de una :@0.260798:0.769899:0.351754:0.769899:0.351754:0.754836:0.260798:0.754836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnitud: que carece de direc-:@0.153341:0.785741:0.346919:0.785741:0.346919:0.770678:0.153341:0.770678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción, como, por ejemplo,:@0.153341:0.801583:0.309996:0.801583:0.309996:0.786520:0.153341:0.786520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la temperatura.:@0.153341:0.817425:0.249590:0.817425:0.249590:0.802362:0.153341:0.802362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146910:0.747015:0.158315:0.745506:0.153112:0.723361:0.141707:0.724870:0.000000
c:@0.150292:0.757985:0.160891:0.756582:0.155808:0.734947:0.145209:0.736350:0.000000
b:@0.160667:0.750767:0.173381:0.749084:0.168249:0.727242:0.155535:0.728924:0.000000