Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 11 - Vectors and Vector-Valued Functions - 11.3 Dot Products - 11.3 Exercises: 4

Answer

$\textbf{u}\cdot\textbf{v} = 0$, where $\textbf{u}$ and $\textbf{v}$ are orthogonal.

Work Step by Step

Orthogonal means that the angle between the vectors is $90^\circ$. $\textbf{u}\cdot\textbf{v} = |\textbf{u}||\textbf{v}|cos(90^\circ) = 0$, since $cos(90^\circ) =0$
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