76:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000 2. :@0.114807:0.511939:0.133548:0.511939:0.133548:0.494803:0.114807:0.494803:0.000000:0.000000:0.000000 Encuentra:@0.148050:0.511939:0.226055:0.511939:0.226055:0.495315:0.148050:0.495315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las ecuaciones paramétricas del :@0.226055:0.511939:0.510651:0.512781:0.510651:0.496392:0.226055:0.495550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 plano descrito en cada caso.:@0.148050:0.528535:0.355100:0.528535:0.355100:0.512146:0.148050:0.512146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.148050:0.555781:0.166773:0.555781:0.166773:0.538880:0.148050:0.538880:0.000000:0.000000:0.000000 Plano :@0.181294:0.555781:0.226386:0.555781:0.226386:0.539392:0.181294:0.539392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.230090:0.556459:0.245256:0.556459:0.245256:0.540886:0.230090:0.540886:0.000000 que pasa = (5, 0, –1) y está :@0.245256:0.555781:0.492121:0.555781:0.492121:0.539392:0.245256:0.539392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.330963:0.556293:0.340232:0.556293:0.340232:0.539932:0.330963:0.539932:0.000000 :@0.488085:0.555781:0.492121:0.555781:0.492121:0.539392:0.488085:0.539392:0.000000 generado por los vectores = (0, 1, 0) :@0.181284:0.575904:0.492119:0.575898:0.492119:0.559509:0.181284:0.559515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.392630:0.576416:0.401899:0.576416:0.401899:0.560055:0.392630:0.560055:0.000000 y = (0, 1, –1).:@0.181282:0.596021:0.285487:0.596015:0.285487:0.579626:0.181282:0.579632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.193426:0.596533:0.201092:0.596533:0.201092:0.580171:0.193426:0.580171:0.000000 :@0.148053:0.717016:0.151868:0.717016:0.151868:0.700115:0.148053:0.700115:0.000000 b) :@0.148048:0.744266:0.168079:0.744266:0.168079:0.727365:0.148048:0.727365:0.000000:0.000000:0.000000 Plano :@0.181292:0.744266:0.226384:0.744266:0.226384:0.727877:0.181292:0.727877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.230088:0.744943:0.245254:0.744943:0.245254:0.729370:0.230088:0.729370:0.000000 que pasa = (4, 0, –2) y está :@0.245254:0.744266:0.492121:0.744266:0.492121:0.727877:0.245254:0.727877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.330961:0.744777:0.340230:0.744777:0.340230:0.728416:0.330961:0.728416:0.000000 :@0.488085:0.744266:0.492121:0.744266:0.492121:0.727877:0.488085:0.727877:0.000000 generado por los vectores = :@0.181284:0.771926:0.410361:0.771926:0.410361:0.755537:0.181284:0.755537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.380910:0.772438:0.390179:0.772438:0.390179:0.756077:0.380910:0.756077:0.000000 1 :@0.418943:0.762886:0.434456:0.762886:0.434456:0.747987:0.418943:0.747987:0.000000:0.000000:0.000000 2:@0.418943:0.781331:0.430787:0.781331:0.430787:0.766432:0.418943:0.766432:0.000000:0.000000 , 3, 0 y :@0.433189:0.772530:0.492131:0.771926:0.492131:0.755537:0.433189:0.756141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.181294:0.800099:0.188960:0.800099:0.188960:0.783737:0.181294:0.783737:0.000000 = (0, –2, 1).:@0.190640:0.799587:0.273343:0.799587:0.273343:0.783198:0.190640:0.783198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.148053:0.920588:0.151868:0.920588:0.151868:0.903688:0.148053:0.903688:0.000000 3. :@0.506615:0.485536:0.525356:0.485536:0.525356:0.468400:0.506615:0.468400:0.000000:0.000000:0.000000 Sea el plano definido como::@0.539859:0.485536:0.763681:0.485536:0.763681:0.469147:0.539859:0.469147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.632881:0.486213:0.648047:0.486213:0.648047:0.470640:0.632881:0.470640:0.000000 ∏:@0.539859:0.513459:0.555025:0.513459:0.555025:0.497886:0.539859:0.497886:0.000000 = = (:@0.555025:0.512781:0.616213:0.512781:0.616213:0.496392:0.555025:0.496392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 {:@0.574079:0.513459:0.582924:0.513459:0.582924:0.497886:0.574079:0.497886:0.000000 x:@0.582924:0.513293:0.590387:0.513293:0.590387:0.496932:0.582924:0.496932:0.000000 x, y, z:@0.616213:0.512781:0.651041:0.512781:0.651041:0.496420:0.616213:0.496420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) :@0.651041:0.512781:0.659960:0.512781:0.659960:0.496392:0.651041:0.496392:0.000000:0.000000 ∈:@0.659960:0.513083:0.671904:0.513083:0.671904:0.498926:0.659960:0.498926:0.000000 :@0.671904:0.512467:0.674920:0.512467:0.674920:0.497593:0.671904:0.497593:0.000000 R:@0.674920:0.511688:0.687015:0.511688:0.687015:0.499995:0.674920:0.499995:0.000000 3 | 3:@0.686844:0.512781:0.712956:0.512781:0.712956:0.496392:0.686844:0.496392:0.000000:0.000000:0.000000:0.000000:0.000000 x + y – z :@0.712956:0.512781:0.780917:0.512781:0.780917:0.496420:0.712956:0.496420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 = 2:@0.761365:0.512781:0.804928:0.512781:0.804928:0.496392:0.761365:0.496392:0.000000:0.000000:0.000000:0.000000:0.000000 }:@0.804928:0.513459:0.813774:0.513459:0.813774:0.497886:0.804928:0.497886:0.000000 a) :@0.539847:0.536500:0.558569:0.536500:0.558569:0.519600:0.539847:0.519600:0.000000:0.000000:0.000000 Comprueba:@0.573090:0.536500:0.664326:0.536500:0.664326:0.519876:0.573090:0.519876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que los siguientes puntos :@0.664326:0.536500:0.883926:0.536500:0.883926:0.520111:0.664326:0.520111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pertenecen al conjunto ::@0.573090:0.553097:0.768125:0.553097:0.768125:0.536708:0.573090:0.536708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.749752:0.553774:0.764918:0.553774:0.764918:0.538202:0.749752:0.538202:0.000000 :@0.539847:0.584118:0.543882:0.584118:0.543882:0.567729:0.539847:0.567729:0.000000 (3, 1, 4), (2, –2, 1), :@0.573090:0.584118:0.699246:0.584118:0.699246:0.567729:0.573090:0.567729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 1 :@0.705138:0.575078:0.742139:0.575078:0.742139:0.560179:0.705138:0.560179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 2:@0.705138:0.593523:0.738470:0.593523:0.738470:0.578624:0.705138:0.578624:0.000000:0.000000:0.000000:0.000000:0.000000 , , 0:@0.719384:0.584722:0.757107:0.584722:0.757107:0.568333:0.719384:0.568333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.539857:0.702998:0.543671:0.702998:0.543671:0.686098:0.539857:0.686098:0.000000 b) :@0.539857:0.754011:0.559888:0.754011:0.559888:0.737110:0.539857:0.737110:0.000000:0.000000:0.000000 Determina:@0.573100:0.754011:0.654790:0.754011:0.654790:0.737387:0.573100:0.737387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si los siguientes puntos perte-:@0.654790:0.754011:0.879902:0.754011:0.879902:0.737622:0.654790:0.737622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 necen al conjunto ::@0.573100:0.770607:0.728591:0.770607:0.728591:0.754218:0.573100:0.754218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.710219:0.771285:0.725384:0.771285:0.725384:0.755712:0.710219:0.755712:0.000000 :@0.539857:0.798904:0.543893:0.798904:0.543893:0.782515:0.539857:0.782515:0.000000 (1, 1, 1), (2, –2, 0), :@0.573100:0.798904:0.699256:0.798904:0.699256:0.782515:0.573100:0.782515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 1 :@0.705138:0.789862:0.742139:0.789862:0.742139:0.774963:0.705138:0.774963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 3:@0.705138:0.808306:0.738470:0.808306:0.738470:0.793407:0.705138:0.793407:0.000000:0.000000:0.000000:0.000000:0.000000 , , 2:@0.719384:0.799504:0.757107:0.799504:0.757107:0.783115:0.719384:0.783115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.539857:0.923551:0.543671:0.923551:0.543671:0.906651:0.539857:0.906651:0.000000 c) :@0.538182:0.104830:0.555817:0.104830:0.555817:0.087929:0.538182:0.087929:0.000000:0.000000:0.000000 Plano :@0.571425:0.104830:0.616518:0.104830:0.616518:0.088441:0.571425:0.088441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.621143:0.105508:0.636309:0.105508:0.636309:0.089935:0.621143:0.089935:0.000000 que pasa = (0, 0, 1) y está :@0.636309:0.104830:0.882254:0.104830:0.882254:0.088441:0.636309:0.088441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.724780:0.105342:0.734049:0.105342:0.734049:0.088980:0.724780:0.088980:0.000000 :@0.878218:0.104830:0.882254:0.104830:0.882254:0.088441:0.878218:0.088441:0.000000 generado por los vectores = (0, 2, 2) :@0.571417:0.124953:0.882252:0.124947:0.882252:0.108558:0.571417:0.108564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.782763:0.125465:0.792032:0.125465:0.792032:0.109104:0.782763:0.109104:0.000000 y = (3, –2, –1).:@0.571415:0.145070:0.684832:0.145064:0.684832:0.128675:0.571415:0.128681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.583559:0.145582:0.591225:0.145582:0.591225:0.129220:0.583559:0.129220:0.000000 :@0.538185:0.266065:0.542000:0.266065:0.542000:0.249164:0.538185:0.249164:0.000000 d) :@0.538182:0.295589:0.558249:0.295589:0.558249:0.278688:0.538182:0.278688:0.000000:0.000000:0.000000 Plano :@0.571425:0.295589:0.616518:0.295589:0.616518:0.279200:0.571425:0.279200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.621143:0.296267:0.636309:0.296267:0.636309:0.280694:0.621143:0.280694:0.000000 que pasa = (1, 2, 3) y está :@0.636309:0.295589:0.882254:0.295589:0.882254:0.279200:0.636309:0.279200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.724780:0.296101:0.734049:0.296101:0.734049:0.279739:0.724780:0.279739:0.000000 :@0.878218:0.295589:0.882254:0.295589:0.882254:0.279200:0.878218:0.279200:0.000000 generado por los vectores = (3, 2, 1) :@0.571417:0.315712:0.882252:0.315706:0.882252:0.299317:0.571417:0.299323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.782763:0.316224:0.792032:0.316224:0.792032:0.299863:0.782763:0.299863:0.000000 y = (1, 0, 0).:@0.571415:0.335829:0.666404:0.335823:0.666404:0.319434:0.571415:0.319440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.583559:0.336341:0.591225:0.336341:0.591225:0.319979:0.583559:0.319979:0.000000 :@0.538185:0.456824:0.542000:0.456824:0.542000:0.439923:0.538185:0.439923:0.000000 d) :@0.147362:0.311865:0.167429:0.311865:0.167429:0.294964:0.147362:0.294964:0.000000:0.000000:0.000000 Plano que pasa = (–1, 0, 1) y está :@0.180605:0.311865:0.490139:0.311865:0.490139:0.295476:0.180605:0.295476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.228572:0.312542:0.243738:0.312542:0.243738:0.296969:0.228572:0.296969:0.000000 a:@0.326994:0.312376:0.336263:0.312376:0.336263:0.296015:0.326994:0.296015:0.000000 :@0.486102:0.311865:0.490137:0.311865:0.490137:0.295476:0.486102:0.295476:0.000000 generado por los vectores = (0, –1, 1) y :@0.180608:0.331988:0.490159:0.331982:0.490159:0.315593:0.180608:0.315599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.378116:0.332500:0.387385:0.332500:0.387385:0.316138:0.378116:0.316138:0.000000 c:@0.180593:0.352603:0.188259:0.352603:0.188259:0.336241:0.180593:0.336241:0.000000 = (2, 2, 0).:@0.189953:0.352098:0.263442:0.352098:0.263442:0.335709:0.189953:0.335709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.147362:0.104469:0.164997:0.104469:0.164997:0.087568:0.147362:0.087568:0.000000:0.000000:0.000000 Plano :@0.180605:0.104469:0.225698:0.104469:0.225698:0.088080:0.180605:0.088080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.229180:0.105147:0.244346:0.105147:0.244346:0.089574:0.229180:0.089574:0.000000 que pasa = (√2, 3, 0) y está :@0.244346:0.104469:0.490139:0.104469:0.490139:0.088080:0.244346:0.088080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.329427:0.104981:0.338696:0.104981:0.338696:0.088620:0.329427:0.088620:0.000000 generado por los vectores = 0, , :@0.180593:0.132130:0.463739:0.132733:0.463739:0.116344:0.180593:0.115741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.385030:0.132641:0.394299:0.132641:0.394299:0.116280:0.385030:0.116280:0.000000 1 1 :@0.442251:0.123090:0.479252:0.123090:0.479252:0.108191:0.442251:0.108191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 2:@0.442251:0.141534:0.475583:0.141534:0.475583:0.126635:0.442251:0.126635:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.486103:0.132130:0.490139:0.132130:0.490139:0.115741:0.486103:0.115741:0.000000:0.000000:0.000000:0.000000 y = (1, 1, 0).:@0.180610:0.159790:0.275586:0.159790:0.275586:0.143401:0.180610:0.143401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.192754:0.160302:0.200420:0.160302:0.200420:0.143941:0.192754:0.143941:0.000000 ∏ {:@0.186195:0.386513:0.228524:0.386513:0.228524:0.370940:0.186195:0.370940:0.000000:0.000000:0.000000 = = (2 – 1, 2 – 1 + ) | :@0.201177:0.385835:0.409863:0.385835:0.409863:0.369447:0.201177:0.369447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.228339:0.386347:0.235803:0.386347:0.235803:0.369986:0.228339:0.369986:0.000000 v :@0.269518:0.385835:0.280391:0.385835:0.280391:0.369474:0.269518:0.369474:0.000000:0.000000 v u, :@0.317578:0.385835:0.357289:0.385835:0.357289:0.369474:0.317578:0.369474:0.000000:0.000000:0.000000:0.000000:0.000000 u u, v:@0.384415:0.385835:0.432658:0.385835:0.432658:0.369474:0.384415:0.369474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.432474:0.385835:0.453316:0.385835:0.453316:0.369447:0.432474:0.369447:0.000000:0.000000:0.000000 ∈ }:@0.436325:0.386513:0.475097:0.386513:0.475097:0.370940:0.436325:0.370940:0.000000:0.000000:0.000000 R:@0.453131:0.384978:0.466436:0.384978:0.466436:0.372116:0.453131:0.372116:0.000000 ∏ =:@0.182917:0.216184:0.174430:0.216184:0.174430:0.198163:0.182917:0.198163:0.000000:0.000000:0.000000 = ⎨:@0.239488:0.216184:0.225531:0.218355:0.225531:0.200335:0.239488:0.198163:0.000000:0.000000:0.000000 +:@0.287612:0.216184:0.259962:0.216184:0.259962:0.198163:0.287612:0.198163:0.000000 +:@0.326183:0.216184:0.298533:0.216184:0.298533:0.198163:0.326183:0.198163:0.000000 +:@0.363844:0.216184:0.336194:0.216184:0.336194:0.198163:0.363844:0.198163:0.000000 ⎛:@0.253430:0.206683:0.260263:0.206683:0.260263:0.188662:0.253430:0.188662:0.000000 ⎝:@0.253430:0.226875:0.260263:0.226875:0.260263:0.208854:0.253430:0.208854:0.000000 ⎜:@0.253430:0.221066:0.260263:0.221066:0.260263:0.203045:0.253430:0.203045:0.000000 ⎞:@0.410790:0.206683:0.417623:0.206683:0.417623:0.188662:0.410790:0.188662:0.000000 ⎠:@0.410790:0.226875:0.417623:0.226875:0.417623:0.208854:0.410790:0.208854:0.000000 ⎟:@0.410790:0.221066:0.417623:0.221066:0.417623:0.203045:0.410790:0.203045:0.000000 ∈ ⎬:@0.449561:0.216198:0.486303:0.218342:0.486303:0.200321:0.449561:0.198177:0.000000:0.000000:0.000000 ⎧:@0.216741:0.205590:0.225531:0.205590:0.225531:0.187569:0.216741:0.187569:0.000000 ⎩ ⎪:@0.216741:0.231121:0.225531:0.228797:0.225531:0.210776:0.216741:0.213100:0.000000:0.000000:0.000000 ⎫:@0.477514:0.205576:0.486303:0.205576:0.486303:0.187555:0.477514:0.187555:0.000000 ⎭ ⎪:@0.477514:0.231107:0.486303:0.228784:0.486303:0.210763:0.477514:0.213086:0.000000:0.000000:0.000000 2:@0.274710:0.215576:0.283393:0.215576:0.283393:0.199187:0.274710:0.199187:0.000000 3:@0.315100:0.215576:0.323783:0.215576:0.323783:0.199187:0.315100:0.199187:0.000000 1:@0.341078:0.206614:0.349761:0.206614:0.349761:0.190225:0.341078:0.190225:0.000000 3:@0.340526:0.226059:0.349209:0.226059:0.349209:0.209670:0.340526:0.209670:0.000000 1:@0.390471:0.206614:0.399154:0.206614:0.399154:0.190225:0.390471:0.190225:0.000000 2:@0.389706:0.226059:0.398389:0.226059:0.398389:0.209670:0.389706:0.209670:0.000000 x:@0.226990:0.215576:0.234196:0.215576:0.234196:0.199214:0.226990:0.199214:0.000000 v,:@0.300133:0.215576:0.310738:0.215576:0.310738:0.199214:0.300133:0.199214:0.000000:0.000000 u v, u u,v:@0.351645:0.215576:0.444549:0.215576:0.444549:0.199214:0.351645:0.199214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.226830:0.202700:0.234125:0.202700:0.234125:0.185951:0.226830:0.185951:0.000000 :@0.463137:0.216447:0.475984:0.216447:0.475984:0.199698:0.463137:0.199698:0.000000 ∏:@0.186195:0.851057:0.201361:0.851057:0.201361:0.835484:0.186195:0.835484:0.000000 = :@0.201177:0.850379:0.220047:0.850379:0.220047:0.833990:0.201177:0.833990:0.000000:0.000000:0.000000 x:@0.236484:0.831446:0.243948:0.831446:0.243948:0.815084:0.236484:0.815084:0.000000 = 4 + :@0.243948:0.831446:0.309327:0.831443:0.309327:0.815054:0.243948:0.815057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 :@0.291045:0.823057:0.306558:0.823057:0.306558:0.808158:0.291045:0.808158:0.000000:0.000000:0.000000 2:@0.291045:0.841501:0.302889:0.841501:0.302889:0.826602:0.291045:0.826602:0.000000:0.000000 u:@0.309327:0.831443:0.318652:0.831443:0.318652:0.815082:0.309327:0.815082:0.000000 y:@0.236483:0.856587:0.243964:0.856587:0.243964:0.840225:0.236483:0.840225:0.000000 = 3 – 2 , :@0.243964:0.856587:0.334702:0.856587:0.334702:0.840198:0.243964:0.840198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.272011:0.856587:0.281336:0.856587:0.281336:0.840225:0.272011:0.840225:0.000000 v:@0.307613:0.856587:0.315353:0.856587:0.315353:0.840225:0.307613:0.840225:0.000000 ∀:@0.334702:0.857264:0.347841:0.857264:0.347841:0.841691:0.334702:0.841691:0.000000 u, v:@0.347841:0.856587:0.371373:0.856587:0.371373:0.840225:0.347841:0.840225:0.000000:0.000000:0.000000:0.000000 :@0.371373:0.856587:0.375409:0.856587:0.375409:0.840198:0.371373:0.840198:0.000000 ∈ :@0.375409:0.857264:0.393154:0.857264:0.393154:0.841691:0.375409:0.841691:0.000000:0.000000 R:@0.393154:0.855729:0.406459:0.855729:0.406459:0.842867:0.393154:0.842867:0.000000 z = v –:@0.236483:0.874193:0.282331:0.874193:0.282331:0.857831:0.236483:0.857831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.243725:0.874193:0.247760:0.874193:0.247760:0.857804:0.243725:0.857804:0.000000 2:@0.282331:0.874193:0.295359:0.874193:0.295359:0.857804:0.282331:0.857804:0.000000:0.000000 ∏:@0.186195:0.650771:0.201361:0.650771:0.201361:0.635199:0.186195:0.635199:0.000000 = :@0.201177:0.650094:0.220047:0.650094:0.220047:0.633705:0.201177:0.633705:0.000000:0.000000:0.000000 x:@0.235471:0.634521:0.242934:0.634521:0.242934:0.618160:0.235471:0.618160:0.000000 = 5:@0.242934:0.634521:0.270981:0.634521:0.270981:0.618132:0.242934:0.618132:0.000000:0.000000:0.000000:0.000000 y:@0.235471:0.651117:0.242952:0.651117:0.242952:0.634756:0.235471:0.634756:0.000000 = + , :@0.242952:0.651117:0.317474:0.651117:0.317474:0.634728:0.242952:0.634728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.262007:0.651117:0.271331:0.651117:0.271331:0.634756:0.262007:0.634756:0.000000 v:@0.290385:0.651117:0.298125:0.651117:0.298125:0.634756:0.290385:0.634756:0.000000 ∀:@0.317474:0.651795:0.330613:0.651795:0.330613:0.636222:0.317474:0.636222:0.000000 u, v:@0.330613:0.651117:0.354145:0.651117:0.354145:0.634756:0.330613:0.634756:0.000000:0.000000:0.000000:0.000000 :@0.354145:0.651117:0.358180:0.651117:0.358180:0.634728:0.354145:0.634728:0.000000 ∈ :@0.358180:0.651795:0.375926:0.651795:0.375926:0.636222:0.358180:0.636222:0.000000:0.000000 R:@0.375926:0.650260:0.389231:0.650260:0.389231:0.637398:0.375926:0.637398:0.000000 z:@0.235471:0.667714:0.242713:0.667714:0.242713:0.651352:0.235471:0.651352:0.000000 = –1 – :@0.242713:0.667714:0.297259:0.667714:0.297259:0.651325:0.242713:0.651325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.297259:0.667714:0.304998:0.667714:0.304998:0.651352:0.297259:0.651352:0.000000 ∏:@0.579706:0.202923:0.594872:0.202923:0.594872:0.187350:0.579706:0.187350:0.000000 = :@0.594687:0.202246:0.613557:0.202246:0.613557:0.185857:0.594687:0.185857:0.000000:0.000000:0.000000 x:@0.629774:0.184529:0.637237:0.184529:0.637237:0.168168:0.629774:0.168168:0.000000 = 3:@0.637237:0.184529:0.665284:0.184529:0.665284:0.168140:0.637237:0.168140:0.000000:0.000000:0.000000:0.000000 v:@0.665284:0.184529:0.673023:0.184529:0.673023:0.168168:0.665284:0.168168:0.000000 y:@0.629774:0.201125:0.637255:0.201125:0.637255:0.184764:0.629774:0.184764:0.000000 = 2 – 2 , :@0.637255:0.201125:0.727993:0.201125:0.727993:0.184736:0.637255:0.184736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.665302:0.201125:0.674627:0.201125:0.674627:0.184764:0.665302:0.184764:0.000000 v:@0.700904:0.201125:0.708644:0.201125:0.708644:0.184764:0.700904:0.184764:0.000000 ∀:@0.727993:0.201803:0.741132:0.201803:0.741132:0.186230:0.727993:0.186230:0.000000 u, v:@0.741132:0.201125:0.764664:0.201125:0.764664:0.184764:0.741132:0.184764:0.000000:0.000000:0.000000:0.000000 :@0.764664:0.201125:0.768700:0.201125:0.768700:0.184736:0.764664:0.184736:0.000000 ∈ :@0.768700:0.201803:0.786445:0.201803:0.786445:0.186230:0.768700:0.186230:0.000000:0.000000 R:@0.786445:0.200268:0.799750:0.200268:0.799750:0.187406:0.786445:0.187406:0.000000 z:@0.629774:0.217722:0.637016:0.217722:0.637016:0.201361:0.629774:0.201361:0.000000 = 1 + 2:@0.637016:0.217722:0.693109:0.217722:0.693109:0.201333:0.637016:0.201333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u – v:@0.693109:0.217722:0.726021:0.217722:0.726021:0.201361:0.693109:0.201361:0.000000:0.000000:0.000000:0.000000:0.000000 ∏:@0.579706:0.393589:0.594872:0.393589:0.594872:0.378016:0.579706:0.378016:0.000000 = :@0.594687:0.392912:0.613557:0.392912:0.613557:0.376523:0.594687:0.376523:0.000000:0.000000:0.000000 x:@0.629774:0.375195:0.637237:0.375195:0.637237:0.358834:0.629774:0.358834:0.000000 = 1 + 3 + :@0.637237:0.375195:0.721709:0.375195:0.721709:0.358806:0.637237:0.358806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.693331:0.375195:0.702655:0.375195:0.702655:0.358834:0.693331:0.358834:0.000000 v:@0.721709:0.375195:0.729449:0.375195:0.729449:0.358834:0.721709:0.358834:0.000000 y:@0.629774:0.391791:0.637255:0.391791:0.637255:0.375430:0.629774:0.375430:0.000000 = 2 + 2 , :@0.637255:0.391791:0.742201:0.391791:0.742201:0.375402:0.637255:0.375402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.693349:0.391791:0.702673:0.391791:0.702673:0.375430:0.693349:0.375430:0.000000 ∀:@0.742201:0.392469:0.755340:0.392469:0.755340:0.376896:0.742201:0.376896:0.000000 u, v:@0.755340:0.391791:0.778872:0.391791:0.778872:0.375430:0.755340:0.375430:0.000000:0.000000:0.000000:0.000000 :@0.778872:0.391791:0.782907:0.391791:0.782907:0.375402:0.778872:0.375402:0.000000 ∈ :@0.782907:0.392469:0.800653:0.392469:0.800653:0.376896:0.782907:0.376896:0.000000:0.000000 R:@0.800653:0.390934:0.813958:0.390934:0.813958:0.378072:0.800653:0.378072:0.000000 z:@0.629774:0.408388:0.637016:0.408388:0.637016:0.392026:0.629774:0.392026:0.000000 = 3 + :@0.637016:0.408388:0.684117:0.408388:0.684117:0.391999:0.637016:0.391999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.684117:0.408388:0.693441:0.408388:0.693441:0.392026:0.684117:0.392026:0.000000 Sí pertenecen al plano.:@0.584177:0.631502:0.747298:0.631502:0.747298:0.615113:0.584177:0.615113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (1, 1, 1) Sí pertenece al plano.:@0.584177:0.837090:0.791027:0.837090:0.791027:0.820701:0.584177:0.820701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (2, –2, 0) No pertenece al plano.:@0.584177:0.858043:0.809215:0.858043:0.809215:0.841654:0.584177:0.841654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (3/2, 1/3, 2) No pertenece al plano.:@0.584177:0.878995:0.830368:0.878995:0.830368:0.862607:0.584177:0.862607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000