Algebra and Trigonometry 10th Edition

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

Chapter 8 - 8.4 - Vectors and Dot Products - 8.4 Exercises - Page 595: 16

Answer

$⟨-36,12⟩$ It is a vector.

Work Step by Step

$(u⋅2v)w=(⟨3,3⟩⋅2⟨-4,2⟩)⟨3,-1⟩=(⟨3,3⟩⋅⟨-8,4⟩)⟨3,-1⟩=[3(-8)+3(4)]⟨3,-1⟩=(-24+12)⟨3,-1⟩=-12⟨3,-1⟩=⟨-36,12⟩$
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