Let u be a vector in an inner product space V, and let {v1, v2,..., vn} be an

Chapter 6, Problem 13

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Let u be a vector in an inner product space V, and let {v1, v2,..., vn} be an orthonormal basis for V . Show that if i is the angle between u and vi, then cos2 1 + cos2 2 ++ cos2 n = 1

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