Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - Review Exercises - Page 617: 77

Answer

$u(u·v)=⟨72,-36⟩$ It is a vector.

Work Step by Step

$u(u·v)=⟨-4,2⟩(⟨-4,2⟩⋅⟨5,1⟩)=⟨-4,2⟩[-4(5)+2(1)]=⟨-4,2⟩(-20+2)=⟨-4,2⟩(-18)=⟨-4(-18),2(-18)⟩=⟨72,-36⟩$
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