Let u and v be vectors in an inner product space. (a) Prove that u = v if and only if u

Chapter 6, Problem 12

(choose chapter or problem)

Let u and v be vectors in an inner product space. (a) Prove that u = v if and only if u + v and u v are orthogonal. (b) Give a geometric interpretation of this result in R2 with the Euclidean inner product.

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