Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 9 - Polar Coordinates; Vectors - 9.6 Vectors in Space - 9.6 Assess Your Understanding - Page 625: 31



Work Step by Step

If a vector $v$ initiates at point $P_1(x_1,y_1,z_1)$ and terminates at $P_2(x_2,y_2,z_2)$ then $v$ is equal to the position vector $v=(x_2-x_1)i+(y_2-y_1)j+(z_2-z_1)k.$ Hence here $v=(6-(-2))i+(-2-(-1))j+(4-4)k\\v=8i-j.$
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