The definition u v = |u| |v| cos implies that |u v| |u||v|

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The definition u • v = |u| |v| cos θ implies that |u • v| ≤ |u||v| (because |cos θ| ≤ 1). This inequality, known as the Cauchy–Schwarz Inequality, holds in any number of dimensions and has many consequences.

What conditions on u and v lead to equality in the Cauchy–Schwarz Inequality?

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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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The definition u v = |u| |v| cos implies that |u v| |u||v|

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Calculus Early Transcendentals

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