Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 702: 33

Answer

$⟨-6,7,-2⟩$

Work Step by Step

We calculate the cross-product as follows: $\textbf{v}\times\textbf{w}=\begin{vmatrix}\textbf{i}&\textbf{j}&\textbf{k}\\1&2&4\\1&0&-3\end{vmatrix}$ $=\textbf{i}(2\times-3-4\times0)-\textbf{j}(1\times-3-4\times1)+\textbf{k}(1\times0-2\times1)$ $=-6\textbf{i}+7\textbf{j}-2\textbf{k}$ That is, $\textbf{v}\times\textbf{w}= ⟨-6,7,-2⟩$
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