How to Find Area of a Triangle using 3 Points? (using Vectors) #jeedailyconcepts #vectoralgebra

If you are given any three points, then to find the area of the triangle connecting these three points, you need to find the vectors of any two adjacent sides. Then the area of the triangle is half of the magnitude of their cross product.

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[James-shzf]

How is ĀƁ the height of the triangle? All well and good going through the procedure, but what about the underlying theory behind the technique? How is ABxBC analagous to a half base times height?