The Parallelogram Law states that | a + b | 2 + | a − b | 2 = 2 | a | 2 + 2 | b | 2 (a) Give a geometric interpretation of the Parallelogram Law. (b) Prove the Parallelogram Law. (See the hint in Exercise 62.)
The Parallelogram Law states that | a + b | 2 + | a − b | 2 = 2 | a | 2 + 2 | b | 2 (a) Give a geometric interpretation of the Parallelogram Law. (b) Prove the Parallelogram Law. (See the hint in Exercise 62.)
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