Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - Review - Exercises - Page 859: 10

Answer

$6$

Work Step by Step

$V=|a \cdot (b \times c)|$ $=|\lt 1,3,-1 \gt \cdot ( \lt -2,1,3 \gt \times \lt -1,3,1 \gt)|$ $=|\lt 1,3,-1 \gt \cdot ( \lt 1(1)-3(3),3(1)-(-2)(1),-2(3)-1(-1) \gt )|$ $=|\lt 1,3,-1 \gt \cdot ( \lt -8,-1,-5 \gt )|$ $=|1(-8)+3(-1)+(-1)(-5)|$ $=|-6|$ $=6$
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