Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 331: 75

Answer

$20$

Work Step by Step

Step 1: $4\textbf{i}$ is basically $4\textbf{i}+0\textbf{j}$ which means it can be written as $\langle 4,0 \rangle$. On the other hand, $5\textbf{i}-9\textbf{j}$ can be written as $\langle 5,-9 \rangle$. Step 2: $\langle 4,0 \rangle \cdot \langle 5,-9 \rangle$ Step 3: $4(5)+0(-9)$ Step 4: $20+0$ Step 5: $20$
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