Question: Let V be a vector space over R, and let (x, y) be an inner product on V with induced norm ||x|| = sqrt( ).

Let V be a vector space over R, and let (x, y) be an inner product on V with induced norm ||x|| = sqrt(). Suppose x, y V are vectors such that ||x|| = ||y|| = 1 and = 1. Show that x = y.

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