Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.2 - Vectors - Exercises 12.2 - Page 704: 19

Answer

$-3{\bf i}+16{\bf j}$

Work Step by Step

If the vector ${\bf v}$ is represented as the directed line segment $\overrightarrow{AB}$ (where the point $A(x_{1},y_{1},z_{1})$ is the initial point, and $B(x_{2},y_{2},z_{2})$ is the terminal point), then ${\bf v}=(x_{2}-x_{1}){\bf i}+(y_{2}-y_{1}){\bf j}+(z_{2}-z_{1}){\bf k}=\langle(x_{2}-x_{1}), (y_{2}-y_{1}), (z_{2}-z_{1}) \rangle$ --- Here, ${\bf v}=(-10-(-7)){\bf i}+(8-(-8)){\bf j}+(1-1){\bf k}$ $=-3{\bf i}+16{\bf j}$
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