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: 34

Answer

$⟨-3,-20,-1⟩$

Work Step by Step

We calculate the cross-product as follows: $\textbf{w}\times\textbf{u}=\begin{vmatrix}\textbf{i}&\textbf{j}&\textbf{k}\\1&0&-3\\6&-1&2\end{vmatrix}$ $=\textbf{i}(0\times2-(-1\times-3))-\textbf{j}(1\times2-6\times-3)+\textbf{k}((1\times-1)-6\times0)$ $=-3\textbf{i}-20\textbf{j}-\textbf{k}$ That is, $\textbf{w}\times\textbf{u}= ⟨-3,-20,-1⟩$
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