Find x so that the vectors u and v below are perpendicular. X u= 6 [-9 x=0 4 v=6 [-1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem: Vector Perpendicularity**

Find \( x \) so that the vectors \( \mathbf{u} \) and \( \mathbf{v} \) below are perpendicular.

\[
\mathbf{u} = \begin{bmatrix} x \\ 6 \\ -9 \end{bmatrix} \quad \mathbf{v} = \begin{bmatrix} 4 \\ 6 \\ -1 \end{bmatrix}
\]

**Solution**

\( x = 0 \)
Transcribed Image Text:**Problem: Vector Perpendicularity** Find \( x \) so that the vectors \( \mathbf{u} \) and \( \mathbf{v} \) below are perpendicular. \[ \mathbf{u} = \begin{bmatrix} x \\ 6 \\ -9 \end{bmatrix} \quad \mathbf{v} = \begin{bmatrix} 4 \\ 6 \\ -1 \end{bmatrix} \] **Solution** \( x = 0 \)
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