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 - Preliminary Questions - Page 676: 7


(a) not meaningful. (b) meaningful. (c) meaningful. (d) meaningful.

Work Step by Step

(a) not meaningful since $ u\cdot v $ is a scalar and a scalar dot product with a vector is not defined. (b) meaningful since $ u\times v $ is a vector and a vector dot product with a vector is defined. (c) meaningful since $\|w\|$ and $ u\cdot v $ are scalars and the product of scalars is defined. (d) meaningful since $\|w\|$ is a scalar and $ u\times v $ are scalars and a scalar times a vector is defined.
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