How do I calculate surface area given a three dimensional coordinates of a face?

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I have three dimensional coordinates of a face, how do I calculate surface area?

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In general for a parametized face $\vec F(u,v)$ the area is the integral $$A=\int \left|\frac{\text d\vec F(u,v)}{\text du}\times\frac{\text d\vec F(u,v)}{\text dv}\right|\text du \text dv$$