﻿74:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
12. :@0.114958:0.100697:0.143927:0.100697:0.143927:0.083561:0.114958:0.083561:0.000000:0.000000:0.000000:0.000000
Sean los puntos    = (1, 1, 1)  y    = (2, –1, –3).:@0.148202:0.100697:0.477990:0.100697:0.477990:0.084308:0.148202:0.084308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.272846:0.097433:0.276163:0.097433:0.276163:0.081072:0.272846:0.081072:0.000000
p:@0.272846:0.101209:0.282115:0.101209:0.282115:0.084848:0.272846:0.084848:0.000000
 :@0.376725:0.097433:0.380042:0.097433:0.380042:0.081072:0.376725:0.081072:0.000000
q:@0.376725:0.101209:0.385994:0.101209:0.385994:0.084848:0.376725:0.084848:0.000000
a) :@0.148191:0.124416:0.166913:0.124416:0.166913:0.107516:0.148191:0.107516:0.000000:0.000000:0.000000
Escribe:@0.181434:0.124416:0.236183:0.124416:0.236183:0.107792:0.181434:0.107792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de la recta :@0.236183:0.124416:0.490982:0.124416:0.490982:0.108027:0.236183:0.108027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por dichos puntos.:@0.181434:0.141013:0.389221:0.141013:0.389221:0.124624:0.181434:0.124624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148191:0.258460:0.152005:0.258460:0.152005:0.241559:0.148191:0.241559:0.000000
b) :@0.148199:0.282185:0.168230:0.282185:0.168230:0.265284:0.148199:0.265284:0.000000:0.000000:0.000000
Halla:@0.181443:0.282185:0.219920:0.282185:0.219920:0.265561:0.181443:0.265561:0.000000:0.000000:0.000000:0.000000:0.000000
  las  ecuaciones  paramétricas de  la :@0.219920:0.282185:0.490972:0.282185:0.490972:0.265796:0.219920:0.265796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación vectorial anterior.:@0.181443:0.298781:0.379005:0.298781:0.379005:0.282392:0.181443:0.282392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148199:0.416228:0.152014:0.416228:0.152014:0.399328:0.148199:0.399328:0.000000
13. :@0.114958:0.442897:0.143927:0.442897:0.143927:0.425761:0.114958:0.425761:0.000000:0.000000:0.000000:0.000000
Sean los puntos    = (0, 1, 2)  y    = (3, 2, 1).:@0.148202:0.442897:0.459563:0.442897:0.459563:0.426508:0.148202:0.426508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.272846:0.439633:0.276163:0.439633:0.276163:0.423272:0.272846:0.423272:0.000000
p:@0.272846:0.443409:0.282115:0.443409:0.282115:0.427047:0.272846:0.427047:0.000000
 :@0.376725:0.439633:0.380042:0.439633:0.380042:0.423272:0.376725:0.423272:0.000000
q:@0.376725:0.443409:0.385994:0.443409:0.385994:0.427047:0.376725:0.427047:0.000000
a) :@0.148191:0.466616:0.166913:0.466616:0.166913:0.449715:0.148191:0.449715:0.000000:0.000000:0.000000
Obtén:@0.181434:0.466616:0.230065:0.466616:0.230065:0.449992:0.181434:0.449992:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de la recta :@0.230065:0.466616:0.490945:0.466616:0.490945:0.450227:0.230065:0.450227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por dichos puntos.:@0.181434:0.483212:0.389221:0.483212:0.389221:0.466823:0.181434:0.466823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148191:0.600659:0.152005:0.600659:0.152005:0.583759:0.148191:0.583759:0.000000
b) :@0.148199:0.624384:0.168230:0.624384:0.168230:0.607484:0.148199:0.607484:0.000000:0.000000:0.000000
Anota:@0.181443:0.624384:0.227991:0.624384:0.227991:0.607760:0.181443:0.607760:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramétricas.:@0.227991:0.624384:0.440054:0.624384:0.440054:0.607996:0.227991:0.607996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148199:0.741831:0.152014:0.741831:0.152014:0.724931:0.148199:0.724931:0.000000
15. :@0.507913:0.261475:0.536882:0.261475:0.536882:0.244339:0.507913:0.244339:0.000000:0.000000:0.000000:0.000000
Sean los puntos    = (4, 2, 1)  y    = (5, 3, 2).:@0.541157:0.261475:0.852520:0.261475:0.852520:0.245086:0.541157:0.245086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.665801:0.258211:0.669118:0.258211:0.669118:0.241849:0.665801:0.241849:0.000000
p:@0.665801:0.261986:0.675071:0.261986:0.675071:0.245625:0.665801:0.245625:0.000000
 :@0.769681:0.258211:0.772998:0.258211:0.772998:0.241849:0.769681:0.241849:0.000000
q:@0.769681:0.261986:0.778950:0.261986:0.778950:0.245625:0.769681:0.245625:0.000000
a) :@0.541148:0.285194:0.559871:0.285194:0.559871:0.268293:0.541148:0.268293:0.000000:0.000000:0.000000
Encuentra:@0.574392:0.285194:0.652396:0.285194:0.652396:0.268570:0.574392:0.268570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de la  :@0.652396:0.285194:0.883921:0.285194:0.883921:0.268805:0.652396:0.268805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta que pasa por dichos puntos.:@0.574392:0.301790:0.822867:0.301790:0.822867:0.285401:0.574392:0.285401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.541148:0.419237:0.544963:0.419237:0.544963:0.402336:0.541148:0.402336:0.000000
b) :@0.541155:0.450091:0.561186:0.450091:0.561186:0.433190:0.541155:0.433190:0.000000:0.000000:0.000000
Encuentra:@0.574399:0.450091:0.652403:0.450091:0.652403:0.433467:0.574399:0.433467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramétricas.:@0.652403:0.450091:0.864466:0.450091:0.864466:0.433702:0.652403:0.433702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.541155:0.567538:0.544970:0.567538:0.544970:0.550637:0.541155:0.550637:0.000000
16. :@0.507913:0.616397:0.536882:0.616397:0.536882:0.599261:0.507913:0.599261:0.000000:0.000000:0.000000:0.000000
Sean los puntos    = (4, 5, –1)  y    = (–2, –6, 3).:@0.541157:0.616397:0.879890:0.616397:0.879890:0.600008:0.541157:0.600008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.665728:0.613133:0.669045:0.613133:0.669045:0.596772:0.665728:0.596772:0.000000
p:@0.665728:0.616909:0.674997:0.616909:0.674997:0.600547:0.665728:0.600547:0.000000
 :@0.778701:0.611874:0.782018:0.611874:0.782018:0.595513:0.778701:0.595513:0.000000
q:@0.778701:0.615650:0.787970:0.615650:0.787970:0.599289:0.778701:0.599289:0.000000
a) :@0.541154:0.640116:0.559876:0.640116:0.559876:0.623215:0.541154:0.623215:0.000000:0.000000:0.000000
Calcula:@0.574397:0.640116:0.629827:0.640116:0.629827:0.623492:0.574397:0.623492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de la recta :@0.629827:0.640116:0.883959:0.640116:0.883959:0.623727:0.629827:0.623727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por dichos puntos.:@0.574397:0.656712:0.782183:0.656712:0.782183:0.640323:0.574397:0.640323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.541154:0.774159:0.544968:0.774159:0.544968:0.757259:0.541154:0.757259:0.000000
b) :@0.541155:0.805013:0.561186:0.805013:0.561186:0.788113:0.541155:0.788113:0.000000:0.000000:0.000000
Halla:@0.574399:0.805013:0.612876:0.805013:0.612876:0.788389:0.574399:0.788389:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramétricas.:@0.612876:0.805013:0.824941:0.805013:0.824941:0.788624:0.612876:0.788624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.541155:0.922460:0.544970:0.922460:0.544970:0.905560:0.541155:0.905560:0.000000
14. :@0.114958:0.773041:0.143927:0.773041:0.143927:0.755906:0.114958:0.755906:0.000000:0.000000:0.000000:0.000000
Sean los puntos    = (1, 2, 3)  y    = (3, 2, 1).:@0.148202:0.773041:0.459563:0.773041:0.459563:0.756653:0.148202:0.756653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.272846:0.769778:0.276163:0.769778:0.276163:0.753416:0.272846:0.753416:0.000000
p:@0.272846:0.773553:0.282115:0.773553:0.282115:0.757192:0.272846:0.757192:0.000000
 :@0.376725:0.769778:0.380042:0.769778:0.380042:0.753416:0.376725:0.753416:0.000000
q:@0.376725:0.773553:0.385994:0.773553:0.385994:0.757192:0.376725:0.757192:0.000000
a) :@0.148191:0.796760:0.166913:0.796760:0.166913:0.779860:0.148191:0.779860:0.000000:0.000000:0.000000
Escribe:@0.181434:0.796760:0.236183:0.796760:0.236183:0.780136:0.181434:0.780136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de la recta :@0.236183:0.796760:0.490982:0.796760:0.490982:0.780372:0.236183:0.780372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por dichos puntos.:@0.181434:0.813357:0.389221:0.813357:0.389221:0.796968:0.181434:0.796968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148191:0.930804:0.152005:0.930804:0.152005:0.913903:0.148191:0.913903:0.000000
b) :@0.540845:0.100407:0.560876:0.100407:0.560876:0.083506:0.540845:0.083506:0.000000:0.000000:0.000000
Obtén:@0.574089:0.100407:0.622719:0.100407:0.622719:0.083783:0.574089:0.083783:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramétricas.:@0.622719:0.100407:0.834785:0.100407:0.834785:0.084018:0.622719:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540845:0.217854:0.544660:0.217854:0.544660:0.200953:0.540845:0.200953:0.000000