To warp or morph a solid object in we first partition the object into disjoint
Chapter 10, Problem T2(choose chapter or problem)
To warp or morph a solid object in we first partition the object into disjoint tetrahedrons. Let , , , and be four noncoplanar vectors. Then a vector lies in the solid tetrahedron formed by these four vectors if and only if v is a convex combination of the three vectors; that is, for some nonnegative coefficients , , , and whose sum is one. (a) Show that in this case, , , , and are solutions of the following linear system: In parts (b)(d) determine whether the vector v is a convex combination of the vectors , , , and . (b) (c) (d)
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