Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 11 - Vectors and the Geometry of Space - 11.1 Exercises - Page 756: 52

Answer

$$\mathbf{v}=\left(3.993,0.2442\right)$$

Work Step by Step

$\|\mathbf{v}\|=4\hspace{5mm}\theta=3.5^\circ$ $\mathbf{v}_x=\|\mathbf{v}\|\cos{\theta}=4\cos{3.5^\circ}=3.993$ $\mathbf{v}_y=\|\mathbf{v}\|\sin{\theta}=4\sin{3.5^\circ}=0.2442$ $$\mathbf{v}=\left(3.993,0.2442\right)$$
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