Find the orthogonal complement W⊥ of W and give the basis for W⊥. {W= [x y ; x = t, y = -t, z = 3t} z]
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So you want the set of vectors orthogonal to (t,-t,3t). One vector orthogonal to this is (t,t,0). Another is the cross product of these two. Can you show that these two vectors span W⊥?
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