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Let X be an inner product space with elements r, y E X. a) Let r be orthogonal to y. Prove the Pythagorean theorem: llac

Let X be an inner product space with elements r, y E X. a) Let r be orthogonal to y. Prove the Pythagorean theorem: llac + yl|2 = 11=12 + 1/81/2 b) Prove the parallelogram law:\f

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