Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.5 - The Cross Product - 9.5 Exercises - Page 665: 4

Answer

$7\hat{i}+\hat{j}+4\hat{k}$

Work Step by Step

$\textbf{u}\times\textbf{v}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\0&-4&1\\1&1&-2\end{vmatrix}$$=\begin{vmatrix}-4&1\\1&-2\end{vmatrix}\hat{i}-\begin{vmatrix}0&1\\1&-2\end{vmatrix}\hat{j}+\begin{vmatrix}0&-4\\1&1\end{vmatrix}\hat{k}$ $=(8-1)\hat{i}-(0-1)\hat{j}+(0-(-4))\hat{k}$$=7\hat{i}+\hat{j}+4\hat{k}$
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