Figure shows the tetrahedron determined by three vectors a


Question: Figure shows the tetrahedron determined by three vectors a, b, c. The area vector of a face is a vector perpendicular to the face, pointing outward, whose magnitude is the area of the face. Show that the sum of the four outward pointing area vectors of the faces equals the zero vector.

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Mathematics: Figure shows the tetrahedron determined by three vectors a
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