The Triangle Inequality for vectors is |a + b | < |a| + |b| (a) Give a

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The Triangle Inequality for vectors is |a + b | < |a| + |b|
(a) Give a geometric interpretation of the Triangle Inequality.
(b) Use the Cauchy-Schwarz Inequality from Exercise 61 to prove the Triangle Inequality.

Use the fact that |a + b |2 = (a + b) ∙ (a + b) and use Property 3 of the dot product.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 15, 2019 12:50 PM

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The Triangle Inequality for vectors is |a + b | < |a| + |b| (a) Give a

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a ab b The Triangle Inequality states that the length of the ...View the full answer

Calculus Early Transcendentals

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