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: 17


$-3 i+2j -k$

Work Step by Step

Suppose two vectors $P_1=\lt 2,9,-2 \gt$ and $P_2=\lt 5,7,-1 \gt $. Need to find $\overrightarrow{P_1P_2}$ as follows: $\overrightarrow{P_1P_2}=\overrightarrow{P_2}-\overrightarrow{P_1}$ or, $=\lt 2,9,-2 \gt -\lt 5,7,-1 \gt$ or, $ =\lt -3,2,-1 \gt$ In vector form we have $\overrightarrow{P_1P_2}=-3 i+2j -k$
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