Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - 12.4 The Cross Product - 12.4 Exercises - Page 862: 33



Work Step by Step

Volume of a parallelepiped is defined as: $V=|a \cdot (b \times c)|$ $b \times c= \lt -1,1,2 \gt \times \lt 2,1,4 \gt=\lt 2,8,-3 \gt$ $a \cdot (b \times c)= \lt 1,2,3 \gt \cdot \lt 2,8,-3 \gt$ $=1 \cdot2+2 \cdot 8+ 3 \cdot (-3)$ $=2+16+(-9)$ $=9$
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