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Find A Nonzero Vector Orthogonal To The Plane Through The Points

Find a nonzero vector orthogonal to the plane through the points P, Q, and R, P(0,-2,0), Q(4,1,-2), R(5,3,1).


Answer: < -1, -7, 6 > or <1, 7, -6 >


Explanation




You may have gotten < 1, 7, -6 > instead by using a different order for the cross product or picked two different vectors on the plane.