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: 43


(a) $u+v=⟨-1,6⟩$ (b) $u-v=⟨-9,-2⟩$ (c) $4u=⟨-20,8⟩$ (d) $3v+5u=⟨-13,22⟩$

Work Step by Step

(a) $u+v=⟨-5,2⟩+⟨4,4⟩=⟨-5+4,2+4⟩=⟨-1,6⟩$ (b) $u-v=⟨-5,2⟩-⟨4,4⟩=⟨-5-4,2-4⟩=⟨-9,-2⟩$ (c) $4u=4⟨-5,2⟩=⟨4(-5),4(2)⟩=⟨-20,8⟩$ (d) $3v+5u=3⟨4,4⟩+5⟨-5,2⟩=⟨3(4),3(4)⟩+⟨5(-5),5(2)⟩=⟨12,12⟩+⟨-25,10⟩=⟨12+(-25),12+10⟩=⟨12-25,22⟩=⟨-13,22⟩$
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