Suppose that V = {v1, v2, v3} and W = {w1, w2} are two sets of vectors such that each

Chapter 3, Problem 22

(choose chapter or problem)

Suppose that V = {v1, v2, v3} and W = {w1, w2} are two sets of vectors such that each vector in V is orthogonal to each vector in W. Prove that if a1, a2, a3, b1, b2 are any scalars, then the vectors v = a1v1 + a2v2 + a3v3 and w = b1w1 + b2w2 are orthogonal.

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