Question: Prove that for any u and v in an inner product space V ||u||2 + ||u - v||2 = 2||u||2 + 2||v||2 Give a geometric

Prove that for any u and v in an inner product space V
||u||2 + ||u - v||2 = 2||u||2 + 2||v||2
Give a geometric interpretation of this result for the vector space R2

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