Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 11 - Vectors and the Geometry of Space - 11.4 Exercises - Page 781: 1

Answer

\[-\mathbf{k}\]

Work Step by Step

\[\begin{align} & \mathbf{j}\times \mathbf{i} \\ & \text{Find the cross product} \\ & \mathbf{j}\times \mathbf{i}=\left| \begin{matrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 0 & 1 & 0 \\ 1 & 0 & 0 \\ \end{matrix} \right| \\ & \mathbf{j}\times \mathbf{i}=\left| \begin{matrix} 1 & 0 \\ 0 & 0 \\ \end{matrix} \right|\mathbf{i}-\left| \begin{matrix} 0 & 0 \\ 1 & 0 \\ \end{matrix} \right|\mathbf{j}+\left| \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right|\mathbf{k} \\ & \mathbf{j}\times \mathbf{i}=0\mathbf{i}-0\mathbf{j}-\mathbf{k} \\ & \mathbf{j}\times \mathbf{i}=-\mathbf{k} \\ & \\ & \text{Graph} \\ \end{align}\]
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