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: 42

Answer

$\textbf {2u+v-6v}$ =$\langle -24,-5 \rangle$

Work Step by Step

$\textbf u$ =$\langle -2,5 \rangle$ $\textbf v$ =$\langle 4,3 \rangle$ $\textbf {2u+v-6v}$ =2 $\times$$\langle -2,5 \rangle$+$\langle 4,3 \rangle$-6$\times$$\langle 4,3 \rangle$ $\textbf {2u+v-6v}$ =$\langle -4,10 \rangle$+$\langle 4,3 \rangle$-$\langle 24,18 \rangle$ $\textbf {2u+v-6v}$ =$\langle -4+4-24,10+3-18 \rangle$ $\textbf {2u+v-6v}$ =$\langle -24,-5 \rangle$
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