Tetrahedral Angle

 

Use the dot product to compute the angle between v1 and v2: (NOTE: ||v|| means magnitude of vector v)

Arc-cosine of -1/3 is about 109.4712 degrees, or 109.5 rounded The exact answer, however, is acos(-1/3). A simple mathematical proof of why the angle between vertices of a tetrahedron is acos(-1/3)