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: 42


(a) $u+v=⟨4,4⟩$ (b) $u-v=⟨4,6⟩$ (c) $4u=⟨16,20⟩$ (d) $3v+5u=⟨20,22⟩$

Work Step by Step

(a) $u+v=⟨4,5⟩+⟨0,-1⟩=⟨4+0,5+(-1)⟩=⟨4,5-1⟩=⟨4,4⟩$ (b) $u-v=⟨4,5⟩-⟨0,-1⟩=⟨4-0,5-(-1)⟩=⟨4,5+1⟩=⟨4,6⟩$ (c) $4u=4⟨4,5⟩=⟨4(4),4(5)⟩=⟨16,20⟩$ (d) $3v+5u=3⟨0,-1⟩+5⟨4,5⟩=⟨3(0),3(-1)⟩+⟨5(4),5(5)⟩=⟨0,-3⟩+⟨20,25⟩=⟨0+20,-3+25⟩=⟨20,22⟩$
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