Freeflows

Orthogonal Vector Ratio

Let $ \mathbf{a} $ and $ \mathbf{b} $ be two nonzero vectors such that $ \mathbf{a} + \mathbf{b} $ and $ \mathbf{b} $ are orthogonal, and $ \mathbf{a} + 2 \mathbf{b} $ and $ \mathbf{a} $ are orthogonal. Find $ \frac{\|\mathbf{a}\|}{\|\mathbf{b}\|} $.

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$\frac{a}{b}$
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0
=
%

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

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

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