Question

Find a vector perpendicular to the plane containing the given points.

(0,-2,2), (1,2,-3), and (4,0,-1)

My teacher was unable to finish the lesson, but I'd like to know how to solve this problem.

Answer 1

Use pairs of points to find two different direction vectors in the plane.
eg. (1,4,-5) and (4,2,-3)

Now take the cross product of those two vectors.
You should have learned an algorithm to do that.

Answer 2

My perpendicular vector in simplest form was
[2,17,14]