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If veca,vecbandvecc determine the vertic...

If `veca,vecbandvecc` determine the vertices of a triangle, show that `(1)/(2)[vecbxxvecc+veccxxveca+vecaxxvecd]` givens the vector area of the triangle. Hence, deduce the condition that the three points `veca,vecband vecc` are collinera. Also, find the unit vector normal to the plane of the triangle.

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The correct Answer is:
Unit vector to the plane `triangleABC = (veca xx vecb + vecb xx vecc + vecc xx veca)/(|veca xx vecb + vecb xx vecc + vecc xx veca|)`
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