Freeflows

Projection Vector Component

The projection of $ \begin{pmatrix} 2 \\ y \\ -5 \end{pmatrix} $ onto $ \begin{pmatrix} 1 \\ -2 \\ 1 \end{pmatrix} $ is \[\frac{5}{6} \begin{pmatrix} 1 \\ -2 \\ 1 \end{pmatrix}.\]Find $ y $.

1
2
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+
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5
6
-
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9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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