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-2 Let u 3 and w = 1 For what value of h is w in the plane spanned by u and 7 v? h

-2 Let u 3 and w = 1 For what value of h is w in the plane spanned by u and 7 v? h

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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Let \( \mathbf{u} = \begin{bmatrix} 1 \\ 4 \\ -2 \end{bmatrix} \), \( \mathbf{v} = \begin{bmatrix} -2 \\ -3 \\ 7 \end{bmatrix} \), and \( \mathbf{w} = \begin{bmatrix} 4 \\ 1 \\ h \end{bmatrix} \). For what value of \( h \) is \( \mathbf{w} \) in the plane spanned by \( \mathbf{u} \) and \( \mathbf{v} \)? \[ h = \text{[Input Box]} \]
Transcribed Image Text:Let \( \mathbf{u} = \begin{bmatrix} 1 \\ 4 \\ -2 \end{bmatrix} \), \( \mathbf{v} = \begin{bmatrix} -2 \\ -3 \\ 7 \end{bmatrix} \), and \( \mathbf{w} = \begin{bmatrix} 4 \\ 1 \\ h \end{bmatrix} \). For what value of \( h \) is \( \mathbf{w} \) in the plane spanned by \( \mathbf{u} \) and \( \mathbf{v} \)? \[ h = \text{[Input Box]} \]
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