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: 47


(a) $u+v=3i+6j$ (b) $u-v=5i-6j$ (c) $4u=16i$ (d) $3v+5u=17i+18j$

Work Step by Step

(a) $u+v=(4i)+(-i+6j)=[4+(-1)]i+6j=3i+6j$ (b) $u-v=(4i)-(-i+6j)=[4-(-1)]i-6j=5i-6j$ (c) $4u=4(4i)=16i$ (d) $3v+5u=3(-i+6j)+5(4i)=3(-i)+3(6j)+20i=-3i+18j+20i=17i+18j$
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