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: 20

Answer

$-2i+4j+2k$

Work Step by Step

Suppose two vectors $A=\lt 1,0,3 \gt$ and $B=\lt -1,4,5 \gt $. Need to find $\overrightarrow{AB}$ as follows: $\overrightarrow{AB}=\overrightarrow{B}-\overrightarrow{A}$ or, $=\lt -1,4,5 \gt -\lt 1,0,3 \gt $ or, $=\lt -2,4,2 \gt$ In vector notation $\overrightarrow{AB}=-2i+4j+2k$
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