Question: Given p = (1, 4, 1), q = (2, 1, 1) and r = (1, 3, 2), find (a) A unit vector perpendicular to the

Given p = (1, 4, 1), q = (2, 1, –1) and r = (1, –3, 2), find

(a) A unit vector perpendicular to the plane containing p and q;

(b) A unit vector in the plane containing p × q and p × r that has zero x component.

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