University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Questions to Guide Your Review - Page 637: 6

Answer

See below.

Work Step by Step

The geometrical interpretation of the dot product of two vectors, let us say $u$ and $v$ (can be written as $u \cdot v$ ), can be thought of as the length of the projection of the vector $u$ on $v$ multiplied by the length of the vector $v$. In equation form, $ u \cdot v =|u| |v| \cos \theta$ or, $ u \cdot v =(|u| \cos \theta) |v|$ In the above equation, $|u| \cos \theta$, can be interpreted as the length of the projection of the vector $u$ on $v$.
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