Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 655: 39

Answer

$3i-5j+3k$

Work Step by Step

Let us consider that a vector $v$ is given by: $v=pi+qj+rj$ If a vector $v$ initiates at point $p(x_1,y_1, z_1)$ and terminates at $q(x_2,y_2, z_2)$, then $v =\lt x_2-x_1, y_2-y_1, z_2-z_1 \gt =(x_2-x_1)i+(y_2-y_1) \ j+(z_2-z_1) k$ Therefore, $v=(4-1)i+(-2-3)j +(1-(-2))k \\=3i-5j+3k$
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