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: 3

Answer

See the explanation below.

Work Step by Step

The vector in component form can be expressed as: $v =\lt v_{1}, v_{2}, v_{3}\gt $ The magnitude of the vector $u$ shows its length and is given by: $|u|=\sqrt{u_{1}^{2}+u_{2}^{2}+u_{3}^{2}}$ and the direction of the vector is known as the unit vector $u$ (having vector of magnitude 1 in the direction of $v$): $u=\dfrac{v}{|v|}=\dfrac{1}{\sqrt{v_{1}^{2}+v_{2}^{2}+v_{3}^{2}}}\cdot\ \lt v_{1}, v_{2}, v_{3} \gt$
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