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: 41

Answer

$\langle 8 ,-7 \rangle$

Work Step by Step

$\textbf u$ =$ \langle -2,5 \rangle $ $\textbf v$ =$ \langle 4,3 \rangle $ $\textbf {u+v-3u}$ =$ \langle -2,5 \rangle $+$ \langle 4,3 \rangle -3 \times$$ \langle -2,5 \rangle $ $\textbf {u+v-3u}$ =$ \langle -2+4,5+3 \rangle$- $ \langle -6,15 \rangle $ $\textbf {u+v-3u}$ =$ \langle 2,8 \rangle$- $ \langle -6,15 \rangle $ $\textbf {u+v-3u}$ =$ \langle 2+6,8-15 \rangle$ $\textbf {u+v-3u}$ =$ \langle 8,-7 \rangle$
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