Calculate Volume of any Tetrahedron given 4 points

I need to calculate the volume of a tetrahedron given the coordinates of its four corner points.

Why is the volume of a tetrahedron 1 6?

A tetrahedron has four faces, six edges and four vertices. Its three edges meet at each vertex. The four vertices that we have been given in the question are A(1,1,0) B(-4,3,6) C(-1,0,3) and D(2,4,-5). Hence, the volume of the given tetrahedron is 6 cubic units.

How do you find the volume of a right tetrahedron?

The volume of the tetrahedron is one third the product of its base and its height, the latter of which is . Therefore, \displaystyle V = \frac{1}{3} \cdot 9n \cdot 2n^{2} = 6 n^{3}.

Say if you have 4 vertices a,b,c,d (3-D vectors).

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Now, the problem comes down to writing code which solves cross product and dot product of vectors. If you are from python, you can use NumPy or else you can write code on your own.

The Wikipedia link should definitely help you. LINK