Question: (a) Show that, for all vectors x and y in an inner product space, ||x + y||2 + ||x - y||2 = 2 (||x||2 +

(a) Show that, for all vectors x and y in an inner product space,
||x + y||2 + ||x - y||2 = 2 (||x||2 + ||y||2).
(b) Interpret this result pictorially for vectors in R2 under the Euclidean norm.

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