Question

At what points do the given equations intersect:
r1=<1,1,0>+t<1,-1,2>
r2=<2,0,2>+s<-1,1,0>

Answer 1

I already found that s=0 and t=1 when they intersect, but I don't know how to find the exact point from that.

Answer 2

r1=<1,1,0>+t<1,-1,2>

r1=<1,1,0>+1<1,-1,2>

r1=<1,1,0>+<1*1,1*(-1),1*2>

r1=<1,1,0>+<1,-1,2>

r1=<1+1,1-1,0+2>

r1=<2,0,2>

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OR

r2=<2,0,2>+s<-1,1,0>

r2=<2,0,2>+0<-1,1,0>

r2=<2,0,2>+<0*(-1),0*1,0*0>

r2=<2,0,2>+<0,0,0>

r2=<2+0,0+0,2+0>

r2 = <2,0,2>

Either way, we get <2,0,2>

Answer 3

Thank you!

Answer 4

np