Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - 8.4 Algebraically Defined Vectors and the Dot Product - 8.4 Exercises - Page 790: 40

Answer

$\lt 20,2 \gt$

Work Step by Step

Our aims is to add two vectors , in order to this we will simply add add the vertical component together to get the vertical component of sum , and the horizontal components together to get the horizontal component of sum. Thus, we have: $u=\lt -2, 5 \gt $ and $v = \lt 4, 3 \gt $ Therefore, $-2u+ 4 v = -2 \lt -2, 5 \gt + 4 \lt 4, 3 \gt \\= \lt 4+16,-10+12 \gt \\= \lt 20,2 \gt$
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