Question: Prove the parallelogram law for any two vectors in an inner product space: |u + v||2 + ||u-v||2 = 2||u||2 + 2||v||2

Prove the parallelogram law for any two vectors in an inner product space:
|u + v||2 + ||u-v||2 = 2||u||2 + 2||v||2

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