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: 41

Answer

$\lt 8, -7 \gt$

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, $u+v-3u = \lt -2+4, 5+3 \gt -3 \lt -2,5 \gt \\ \lt 2, 8 \gt -\lt -6, 15 \gt \\= \lt 2+6, 8-15 \gt \\= \lt 8, -7 \gt$
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