27. a. Cauchy-Schwartz inequality Since u v = |ul|v| cos 0, show that the inequality u v ≤ |u||v| holds for any vectors u and v. b. Under what circumstances, if any, does |uv| equal |u||v|? Give reasons for you nawo

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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27. a. Cauchy-Schwartz inequality Since u v = |ul|v| cos 0,
show that the inequality u v ≤ ul|v| holds for any
●
vectors u and v.
b. Under what circumstances, if any, does |uv| equal |ul|v|?
Give reasons for your answer.
Transcribed Image Text:27. a. Cauchy-Schwartz inequality Since u v = |ul|v| cos 0, show that the inequality u v ≤ ul|v| holds for any ● vectors u and v. b. Under what circumstances, if any, does |uv| equal |ul|v|? Give reasons for your answer.
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