Freeflows
Plane From Vector Projection
Let $ \mathbf{w} = \begin{pmatrix} 1 \\ 0 \\ -3 \end{pmatrix} $. The set of vectors $ \mathbf{v} $ such that \[\operatorname{proj}_{\mathbf{w}} \mathbf{v} = \mathbf{0}\]lie on a plane. Enter the equation of this plane in the form \[Ax + By + Cz + D = 0,\]where $ A, $ $ B, $ $ C, $ $ D $ are integers such that $ A > 0 $ and $ \gcd(|A|,|B|,|C|,|D|) = 1 $.
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- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$