Consider the tetrahedron spanned by vectors a, b, and c as in Figure 25(A). Let A, B,
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Consider the tetrahedron spanned by vectors a, b, and c as in Figure 25(A). Let A, B, C be the faces containing the origin O, and let D be the fourth face opposite O. For each face F, let vF be the vector that is perpendicular to the face, pointing outside the tetrahedron, of magnitude equal to twice the area of F. Prove the relations
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We first show that Vp ca x ba Combining the above equations we have b ...View the full answer
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