12.1.5 <0.7071||u||,0.7071||u||> 12.1.7 12.1.9 <-1,5> 12.1.11 <-2,-9> 12.1.15 <30,10> 12.1.21 2v=<4,6>, -w=<-4,-1>, 2v-w<0,5>, v+w=<6,4> 12.1.41 <3/5,4/5> 12.1.47 12.2.11 P=<-2,-6,0> 12.2.13 a: parallel, same direction. b: not parallel nor has the same direction. c: parallel, but opposite direction. d: not parallel nor has the same direction. 12.2.25 not parallel 12.2.27 not parallel 12.2.31 <2/3,-2/3,-1/3> 12.2.49 r1(t) = <5,5,2> + t<0,-2,1> r2(t) = <5,5,2> + t<0,-4,2> 12.2.51 r1(t) = <4t-1, 2-2t, 2+t> r2(t) = <2t, 1, 1+t> when you set r1(t)=r2(t), you get <4t-1=2t, 2-2t=1, 2+t=1+t>, which will result in . Since the z axis does not match, these functions will not intersect.