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: 45


(a) $u+v=7i+2j$ (b) $u-v=-3i-4j$ (c) $4u=8i-4j$ (d) $3v+5u=25i+4j$

Work Step by Step

(a) $u+v=(2i-j)+(5i+3j)=(2+5)i+(-1+3)j=7i+2j$ (b) $u-v=(2i-j)-(5i+3j)=(2-5)i+(-1-3)j=-3i-4j$ (c) $4u=4(2i-j)=4(2i)+4(-j)=8i-4j$ (d) $3v+5u=3(5i+3j)+5(2i-j)=3(5i)+3(3j)+5(2i)+5(-j)=15i+9j+10i-5j=25i+4j$
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