Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.5 - Applications of Vectors - 7.5 Exercises - Page 343: 30

Answer

(a) $U+V=(4,4)$ (b) $U-V=(12,-12)$ (c) $-U=(-8,4)$

Work Step by Step

$U=(8,-4)$ $V=(-4,8)$ (a) $U+V=(8,-4)+(-4,8)$ $U+V=(8-4,-4+8)$ $U+V=(4,4)$ (b) $U-V=(8,-4)-(-4,8)$ $U-V=(8+4,-4-8)$ $U-V=(12,-12)$ (c) $-U=-1\times (8,-4)=(-8,4)$
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