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: 46


(a) $u+v=-3i-4j$ (b) $u-v=-11i-2j$ (c) $4u=-28i-12j$ (d) $3v+5u=-23i-18j$

Work Step by Step

(a) $u+v=(-7i-3j)+(4i-j)=(-7+4)i+[-3+(-1)]j=-3i-4j$ (b) $u-v=(-7i-3j)-(4i-j)=(-7-4)i+[-3-(-1)]j=-11i-2j$ (c) $4u=4(-7i-3j)=4(-7i)+4(-3j)=-28i-12j$ (d) $3v+5u=3(4i-j)+5(-7i-3j)=3(4i)+3(-j)+5(-7i)+5(-3j)=12i-3j-35i-15j=-23i-18j$
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