Explanation Verification: The Cauchy-Schwarz inequality is given by | u ⋅ v | ≤ | u | | v | . Compute the value of | u ⋅ v | . | u ⋅ v | = | 〈 3 , − 5 , 6 〉 ⋅ 〈 − 8 , 3 , 1 〉 | = | 3 ( − 8 ) + ( − 5 ) 3 + 6 × 1 | = | − 24 − 15 + 6 | = 33 Thus, the value of | u ⋅ v | = 33 . Compute the value of | u | | v | . | u | | v | = | 〈 3 , − 5 , 6 〉 | | 〈 − 8 , 3 , 1 〉 | = 3 2

Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

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ISBN: 9780134996684

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

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Question

Chapter 13.3, Problem 85E

To determine

To verify: The Cauchy-Schwarz inequality holds for u=〈3,−5,6〉 and v=〈−8,3,1〉 .

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Chapter 13.3, Problem 84E

Chapter 13.3, Problem 86E

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