Question: Let vectors a, b, and c with common initial point determine a tetrahedron, and let m, n, p, and q be vectors perpendicular to the

Let vectors a, b, and c with common initial point determine a tetrahedron, and let m, n, p, and q be vectors perpendicular to the four faces, pointing outward, and having length equal to the area of the corresponding face. Show that m + n + p + q = 0.

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