Prove For arbitrary vectors u and v, (a) u v 2 u v 2 2 u 2 2 v 2 (b) u v 2 u v 2 4u v ...

a u v 2 u v 2 u u 2u v v v u ...

Prove: For arbitrary vectors u and v, (a) |u + v| 2 + |u - v| 2

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Prove: For arbitrary vectors u and v,

(a) |u + v|² + |u - v|² = 2|u|² + 2|v|²;

(b) |u + v|² - |u - v|² = 4u . v.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 12, 2023 04:43 AM

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Prove: For arbitrary vectors u and v, (a) |u + v| 2 + |u - v| 2

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Differential Equations And Linear Algebra

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