102:@0.054057:0.510692:0.082417:0.510692:0.082417:0.494068:0.054057:0.494068:0.000000:0.000000:0.000000
2. :@0.115209:0.538083:0.133950:0.538083:0.133950:0.520948:0.115209:0.520948:0.000000:0.000000:0.000000
Sea   =   – 2:@0.148452:0.538083:0.243710:0.538083:0.243710:0.521694:0.148452:0.521694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.178434:0.538083:0.185676:0.538083:0.185676:0.521722:0.178434:0.521722:0.000000
x:@0.204730:0.538083:0.212194:0.538083:0.212194:0.521722:0.204730:0.521722:0.000000
2:@0.212190:0.532036:0.217433:0.532036:0.217433:0.522481:0.212190:0.522481:0.000000
y:@0.243710:0.538083:0.251191:0.538083:0.251191:0.521722:0.243710:0.521722:0.000000
2:@0.251191:0.532036:0.256434:0.532036:0.256434:0.522481:0.251191:0.522481:0.000000
a) :@0.148451:0.561807:0.167173:0.561807:0.167173:0.544907:0.148451:0.544907:0.000000:0.000000:0.000000
Completa:@0.181694:0.561807:0.256713:0.561807:0.256713:0.545183:0.181694:0.545183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla a continuación.:@0.256713:0.561807:0.430430:0.561807:0.430430:0.545418:0.256713:0.545418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.707759:0.152265:0.707759:0.152265:0.690858:0.148451:0.690858:0.000000
x:@0.228577:0.583854:0.237275:0.583854:0.237275:0.568198:0.228577:0.568198:0.000000
y:@0.330206:0.583854:0.338904:0.583854:0.338904:0.568198:0.330206:0.568198:0.000000
z:@0.432184:0.583854:0.440182:0.583854:0.440182:0.568198:0.432184:0.568198:0.000000
2:@0.228411:0.607020:0.237404:0.607020:0.237404:0.590631:0.228411:0.590631:0.000000
1:@0.330040:0.607020:0.339032:0.607020:0.339032:0.590631:0.330040:0.590631:0.000000
3:@0.228411:0.630186:0.237404:0.630186:0.237404:0.613797:0.228411:0.613797:0.000000
2:@0.330040:0.630186:0.339032:0.630186:0.339032:0.613797:0.330040:0.613797:0.000000
–2:@0.223804:0.653351:0.242011:0.653351:0.242011:0.636963:0.223804:0.636963:0.000000:0.000000
–1:@0.325433:0.653351:0.343639:0.653351:0.343639:0.636963:0.325433:0.636963:0.000000:0.000000
–3:@0.223804:0.676517:0.242011:0.676517:0.242011:0.660128:0.223804:0.660128:0.000000:0.000000
–2:@0.325433:0.676517:0.343639:0.676517:0.343639:0.660128:0.325433:0.660128:0.000000:0.000000
2:@0.228411:0.699683:0.237404:0.699683:0.237404:0.683294:0.228411:0.683294:0.000000
0:@0.330040:0.699683:0.339032:0.699683:0.339032:0.683294:0.330040:0.683294:0.000000
b) :@0.148435:0.738021:0.168466:0.738021:0.168466:0.721120:0.148435:0.721120:0.000000:0.000000:0.000000
Grafica:@0.181679:0.738021:0.235174:0.738021:0.235174:0.721397:0.181679:0.721397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los puntos.:@0.235174:0.738021:0.318926:0.738021:0.318926:0.721632:0.235174:0.721632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148435:0.908369:0.152250:0.908369:0.152250:0.891468:0.148435:0.891468:0.000000
4. :@0.507677:0.563741:0.526418:0.563741:0.526418:0.546605:0.507677:0.546605:0.000000:0.000000:0.000000
Analiza:@0.540921:0.563741:0.596683:0.563741:0.596683:0.547117:0.540921:0.547117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  el  siguiente  gráfico  y :@0.596683:0.563741:0.775204:0.563741:0.775204:0.547352:0.596683:0.547352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responde:@0.779964:0.563741:0.852790:0.563741:0.852790:0.547117:0.779964:0.547117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  las :@0.852790:0.563741:0.884769:0.563741:0.884769:0.547352:0.852790:0.547352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.880726:0.563741:0.884762:0.563741:0.884762:0.547352:0.880726:0.547352:0.000000
preguntas en cada inciso.:@0.540902:0.580337:0.727112:0.580337:0.727112:0.563949:0.540902:0.563949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.540917:0.798898:0.559640:0.798898:0.559640:0.781997:0.540917:0.781997:0.000000:0.000000:0.000000
Indica:@0.574161:0.798898:0.620820:0.798898:0.620820:0.782274:0.574161:0.782274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  cuáles son las coordenadas del :@0.620820:0.798898:0.884795:0.798898:0.884795:0.782509:0.620820:0.782509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto B.:@0.574161:0.815494:0.635728:0.815494:0.635728:0.799105:0.574161:0.799105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.574161:0.841689:0.879728:0.841689:0.879728:0.825300:0.574161:0.825300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.540917:0.871950:0.560948:0.871950:0.560948:0.855049:0.540917:0.855049:0.000000:0.000000:0.000000
Indica:@0.574161:0.871950:0.620820:0.871950:0.620820:0.855326:0.574161:0.855326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  cuáles son las coordenadas del :@0.620820:0.871950:0.884795:0.871950:0.884795:0.855561:0.620820:0.855561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto C.:@0.574161:0.888546:0.637128:0.888546:0.637128:0.872157:0.574161:0.872157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.574161:0.914741:0.879728:0.914741:0.879728:0.898352:0.574161:0.898352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.130781:0.236739:0.130781:0.236739:0.096834:0.175844:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.7.1. Opera analítica, geométrica y gráficamente, con vectores, rectas y planos en el espacio; expresa la ecuación de la recta de :@0.256865:0.108245:0.877521:0.108245:0.877521:0.097816:0.256865:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma paramétrica y vectorial; halla mediante tres puntos dicha ecuación o a partir de la intersección de dos planos, y determina la :@0.256865:0.118806:0.877637:0.118806:0.877637:0.108377:0.256865:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ortogonalidad de los mismos, para efectuar aplicaciones geométricas. (I.2.):@0.256865:0.129367:0.603113:0.129367:0.603113:0.118938:0.256865:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.172018:0.133950:0.172018:0.133950:0.154882:0.115209:0.154882:0.000000:0.000000:0.000000
Sea   = 3  – 2:@0.148452:0.172018:0.252702:0.172018:0.252702:0.155629:0.148452:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.178434:0.172018:0.185676:0.172018:0.185676:0.155656:0.178434:0.155656:0.000000
x:@0.213723:0.172018:0.221186:0.172018:0.221186:0.155656:0.213723:0.155656:0.000000
2:@0.221183:0.165970:0.226425:0.165970:0.226425:0.156416:0.221183:0.156416:0.000000
y:@0.252702:0.172018:0.260184:0.172018:0.260184:0.155656:0.252702:0.155656:0.000000
2:@0.260184:0.165970:0.265427:0.165970:0.265427:0.156416:0.260184:0.156416:0.000000
a) :@0.148451:0.195742:0.167173:0.195742:0.167173:0.178841:0.148451:0.178841:0.000000:0.000000:0.000000
Completa:@0.181694:0.195742:0.256713:0.195742:0.256713:0.179118:0.181694:0.179118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla a continuación.:@0.256713:0.195742:0.430430:0.195742:0.430430:0.179353:0.256713:0.179353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.275778:0.152265:0.275778:0.152265:0.258877:0.148451:0.258877:0.000000
x:@0.228577:0.221365:0.237275:0.221365:0.237275:0.205710:0.228577:0.205710:0.000000
y:@0.330206:0.221365:0.338904:0.221365:0.338904:0.205710:0.330206:0.205710:0.000000
z:@0.432184:0.221365:0.440182:0.221365:0.440182:0.205710:0.432184:0.205710:0.000000
2:@0.228411:0.244531:0.237404:0.244531:0.237404:0.228142:0.228411:0.228142:0.000000
1:@0.330040:0.244531:0.339032:0.244531:0.339032:0.228142:0.330040:0.228142:0.000000
4:@0.228411:0.267697:0.237404:0.267697:0.237404:0.251308:0.228411:0.251308:0.000000
3:@0.330040:0.267697:0.339032:0.267697:0.339032:0.251308:0.330040:0.251308:0.000000
b) :@0.148435:0.306035:0.168466:0.306035:0.168466:0.289134:0.148435:0.289134:0.000000:0.000000:0.000000
Grafica:@0.181679:0.306035:0.235174:0.306035:0.235174:0.289411:0.181679:0.289411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los puntos.:@0.235174:0.306035:0.318926:0.306035:0.318926:0.289646:0.235174:0.289646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148435:0.472164:0.152250:0.472164:0.152250:0.455264:0.148435:0.455264:0.000000
b) :@0.540917:0.370671:0.560948:0.370671:0.560948:0.353771:0.540917:0.353771:0.000000:0.000000:0.000000
Grafica:@0.574161:0.370671:0.627656:0.370671:0.627656:0.354047:0.574161:0.354047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los puntos.:@0.627656:0.370671:0.711408:0.370671:0.711408:0.354282:0.627656:0.354282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.534892:0.544732:0.534892:0.544732:0.517992:0.540917:0.517992:0.000000
3. :@0.507466:0.180100:0.526207:0.180100:0.526207:0.162964:0.507466:0.162964:0.000000:0.000000:0.000000
Sea :@0.540710:0.180100:0.570691:0.180100:0.570691:0.163711:0.540710:0.163711:0.000000:0.000000:0.000000:0.000000
=:@0.585502:0.180635:0.595619:0.180635:0.595619:0.165062:0.585502:0.165062:0.000000
+:@0.617493:0.180635:0.627609:0.180635:0.627609:0.165062:0.617493:0.165062:0.000000
zx:@0.574409:0.179957:0.607099:0.179957:0.607099:0.163596:0.574409:0.163596:0.000000:0.000000
y:@0.643991:0.179957:0.651473:0.179957:0.651473:0.163596:0.643991:0.163596:0.000000
1:@0.631903:0.171438:0.640896:0.171438:0.640896:0.155049:0.631903:0.155049:0.000000
2:@0.631100:0.190880:0.640093:0.190880:0.640093:0.174491:0.631100:0.174491:0.000000
2:@0.608746:0.172295:0.613958:0.172295:0.613958:0.162797:0.608746:0.162797:0.000000
2:@0.653088:0.172295:0.658300:0.172295:0.658300:0.162797:0.653088:0.162797:0.000000
a) :@0.540706:0.203824:0.559429:0.203824:0.559429:0.186923:0.540706:0.186923:0.000000:0.000000:0.000000
Completa:@0.573950:0.203824:0.648969:0.203824:0.648969:0.187200:0.573950:0.187200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla a continuación.:@0.648969:0.203824:0.822686:0.203824:0.822686:0.187435:0.648969:0.187435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540706:0.353357:0.544521:0.353357:0.544521:0.336456:0.540706:0.336456:0.000000
x:@0.620835:0.229447:0.629532:0.229447:0.629532:0.213791:0.620835:0.213791:0.000000
y:@0.722463:0.229447:0.731161:0.229447:0.731161:0.213791:0.722463:0.213791:0.000000
z:@0.824442:0.229447:0.832439:0.229447:0.832439:0.213791:0.824442:0.213791:0.000000
1:@0.620669:0.250801:0.629661:0.250801:0.629661:0.234412:0.620669:0.234412:0.000000
2:@0.722297:0.250801:0.731290:0.250801:0.731290:0.234412:0.722297:0.234412:0.000000
2:@0.620669:0.272155:0.629661:0.272155:0.629661:0.255766:0.620669:0.255766:0.000000
–2:@0.717690:0.272155:0.735897:0.272155:0.735897:0.255766:0.717690:0.255766:0.000000:0.000000
–2:@0.616062:0.293509:0.634268:0.293509:0.634268:0.277120:0.616062:0.277120:0.000000:0.000000
0:@0.722297:0.293509:0.731290:0.293509:0.731290:0.277120:0.722297:0.277120:0.000000
–1:@0.616062:0.314863:0.634268:0.314863:0.634268:0.298474:0.616062:0.298474:0.000000:0.000000
4:@0.722297:0.314863:0.731290:0.314863:0.731290:0.298474:0.722297:0.298474:0.000000
0:@0.620669:0.336217:0.629661:0.336217:0.629661:0.319828:0.620669:0.319828:0.000000
–4:@0.717690:0.336217:0.735897:0.336217:0.735897:0.319828:0.717690:0.319828:0.000000:0.000000