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 - Practice Exercises - Page 734: 22


${\bf (i-j)}\times{\bf (i+j)}={\bf 2k}$

Work Step by Step

${\bf (i-j)}\times{\bf (i+j)}=\left|\begin{array}{rrr} {\bf i} & {\bf j} & {\bf k}\\ 1 & -1 & 0\\ 1 & 1 & 0 \end{array}\right|$ $=(0-0){\bf i}-(0-0){\bf j}+(1-(-1)){\bf k}$ $=2{\bf k}$
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