Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 11 - Three-Dimensional Space; Vectors - 11.4 Cross Product - Exercises Set 11.4 - Page 803: 8

Answer

See explanation.

Work Step by Step

We used the software Wolfram Mathematica using the function $\operatorname{cross}[a, b]$, which gives the vector cross product of b and $a$: a) $(\vec{w} \times \vec{v})\times\vec{u} =\langle-20,-67,-9\rangle$ b) $ w\times(\vec{v} \times u) =\langle-78,52,26\rangle$ $c)(\vec{v} \times \vec{w}) \times(\vec{u} \times \vec{v})=\langle 0,-56,-392\rangle$ d) $(\vec{v} \times \vec{u})\times(\vec{w} \times \vec{v}) =\langle 0,56,392\rangle$
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