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For the vectors ū 8 find the following: %3D a. ||u|| b. A unit vector in the direction of u.

For the vectors ū 8 find the following: %3D a. ||u|| b. A unit vector in the direction of u.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the vectors \(\vec{u} = \begin{bmatrix} 1 \\ 8 \\ -4 \end{bmatrix}\), \(\vec{v} = \begin{bmatrix} -1 \\ 7 \\ -2 \end{bmatrix}\), find the following: a. \(\|\vec{u}\|\) b. A unit vector in the direction of \(\vec{u}\).
Transcribed Image Text:For the vectors \(\vec{u} = \begin{bmatrix} 1 \\ 8 \\ -4 \end{bmatrix}\), \(\vec{v} = \begin{bmatrix} -1 \\ 7 \\ -2 \end{bmatrix}\), find the following: a. \(\|\vec{u}\|\) b. A unit vector in the direction of \(\vec{u}\).
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