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: 44


(a) $u+v=⟨4,-10⟩$ (b) $u-v=⟨-2,-6⟩$ (c) $4u=⟨4,−32⟩$ (d) $3v+5u=⟨14,-46⟩$

Work Step by Step

(a) $u+v=⟨1,−8⟩+⟨3,-2⟩=⟨1+3,−8+(-2)⟩=⟨4,-8-2⟩=⟨4,-10⟩$ (b) $u-v=⟨1,−8⟩-⟨3,-2⟩=⟨1-3,−8-(-2)⟩=⟨-2,-8+2⟩=⟨-2,-6⟩$ (c) $4u=4⟨1,−8⟩=⟨4(1),4(−8)⟩=⟨4,−32⟩$ (d) $3v+5u=3⟨3,-2⟩+5⟨1,−8⟩=⟨3(3),3(-2)⟩+⟨5(1),5(−8)⟩=⟨9,-6⟩+⟨5,−40⟩=⟨9+5,-6+(−40)⟩=⟨14,-6-40⟩=⟨14,-46⟩$
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