Question: Let {u1 ..... uk, uk+1,..., un) be an orthonormal basis for Euclidean space V, S = span {u1......uk}, and T = span (uk+1...un}. For any

Let {u1 ..... uk, uk+1,..., un) be an orthonormal basis for Euclidean space V, S = span {u1......uk}, and T = span (uk+1...un}. For any x in S and any y in T, show that (x, y) = 0.

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