(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find an equation of the plane that contains these lines:

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

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

2. Relevant equations

3. The attempt at a solution

I took the cross product of <1,-1,2> and <-1,1,0> to get <-2,-2,0>.

I used the point (1,1,0) to get the equation of the plane:

-2(x-1)-2(y-1)=0

But the correct answer is supposed to be x+y=2.

I'd really appreciate it if someone could show me what I'm doing wrong. Thanks!

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# Finding the equation of a plane given two lines

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