Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 701: 1


$$5w-3v= \langle 21,-25\rangle $$ $$5v-3w =\langle -19,31\rangle $$

Work Step by Step

Since $ v=\langle -2,5\rangle $ and $ w=\langle 3,-2\rangle $, then we have $$5w-3v=5\langle 3,-2\rangle-3\langle -2,5\rangle=\langle 21,-25\rangle $$ $$5v-3w=5\langle -2,5\rangle-3\langle 3,-2\rangle=\langle -19,31\rangle $$
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