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: 32

Answer

(a) $-2i+4j$ (b) $i+j $ (c) $4i-7j$

Work Step by Step

$ u = -i + 2j, v = i - j $ (a) $2u=2(-i+2j)$ $=-2i+4j$ (b) $2u + 3v=2(-i+2j)+3(i-j)$ $=-2i+4j+3i-3j $ $=i+j $ (c) $v - 3u= i-j-3(-i+2j)$ $=i-j +3i-6j$ $=4i-7j$
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