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 - True-False Quiz - Page 859: 21

Answer

TRUE

Work Step by Step

TRUE If the dot product is zero, then two vectors are perpendicular. If the cross product is zero, then two vectors are parallel. However, if two vectors are perpendicular and parallel simultaneously, then one of them must be $\mathbf0$. Hence, the statement is true.
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