Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - 13.4 The Cross Product - Exercises - Page 677: 15


$$ (\mathbf{i}-3 \mathbf{j}+2 \mathbf{k}) \times(\mathbf{j}-\mathbf{k}) =\mathbf{i}+\mathbf{j}+\mathbf{k} $$

Work Step by Step

$$ (\mathbf{i}-3 \mathbf{j}+2 \mathbf{k}) \times(\mathbf{j}-\mathbf{k})\\=\mathbf{k}-(-\mathbf{j})-3(0-\mathbf{i})+2(-\mathbf{i}-0)\\ =\mathbf{i}+\mathbf{j}+\mathbf{k} $$
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