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I was reading about Triangle Interiors on Wolfram Alpha:

http://mathworld.wolfram.com/TriangleInterior.html

and they have a simple equation: $$\mathbf{v} = \mathbf{v}_0 + a\mathbf{v}_1 + b\mathbf{v}_2,$$ and then they solve for $a$ and $b$, but I wasn't sure about the steps of how they went about doing that.

My algebra is rusty...

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    Note that $\mathbf{v}$, $\mathbf{v}_0$, $\mathbf{v}_1$, and $\mathbf{v}_2$ are **vectors**, not numbers; you really need some analytic geometry to understand the expressions, not merely algebra at the precalculus level.2012-01-11

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