a Show that (u v) (u v) u 2 2 u v v 2 b Show that u v u v u 2 v 2 if u is orthogonal to v c Show that (u v) (u v) u 2 v 2 ...

a Using the previous results we have uv uv uv uuv ...

a. Show that (u + v) (u + v) = |u| 2 + 2 u

Question:

a. Show that (u + v) • (u + v) = |u|² + 2 u • v + |v|².

b. Show that |u + v| • |u + v| = |u|² + |v|² if u is orthogonal to v.

c. Show that (u + v) • (u - v) = |u|² - |v|².

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 07:52 AM

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a. Show that (u + v) (u + v) = |u| 2 + 2 u

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a Using the previous results we have uv uv uv uuv ...View the full answer

Calculus Early Transcendentals

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