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What is the angle formed by the line (1,2,0) + t(-1,2,1), and a normal vector of the plane x+y-z=4?

 

What I've tried:
I took the normal of the plane and (-1,2,1), and using costheta=(v*w)/(||v|| ||w||). For this I found the numerator to be 0 so then I put in 0 as the answer because it seems like the line doesn't intersect with the plane. Not sure if I did something wrong.

Thank you.

 
 Apr 25, 2021

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