The points (1,1,1), (1,-1,-1), (-1,1,-1), and (-1,-1,1) form the vertices of a tetrahedron.
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What is the bonding angle of carbon tetrachloride? Take a tetrahedron and connect each vertex (a chlorine atom) to the center (a carbon atom). What is the angle between the lines that meet at the center? This problem can be done by brute force using high school geometry Or a simpler approach is to represent the tetrahedron using vectors. How?