Freeflows

Vector Sum Dot Product

Let $ \mathbf{a}, $ $ \mathbf{b}, $ and $ \mathbf{c} $ be vectors such that $ \|\mathbf{a}\| = 5, $ $ \|\mathbf{b}\| = 7, $ and $ \|\mathbf{c}\| = 9, $ and \[\mathbf{a} + \mathbf{b} + \mathbf{c} = \mathbf{0}.\]Find $ \mathbf{a} \cdot \mathbf{b} + \mathbf{a} \cdot \mathbf{c} + \mathbf{b} \cdot \mathbf{c} $.

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

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
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$)$
$[$
$]$
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$\infty$

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