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Use the Barycentric Coordinates with Respect to S to Determine S={v1,v2,v3,v4}\mathrm { S } = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } , \mathbf { v } _ { 4 } \right\}

question 32

Multiple Choice

Use the barycentric coordinates with respect to S to determine if the point p is inside, outside, on a face, or on the edge
of conv S which is a tetrahedron.
- S={v1,v2,v3,v4}\mathrm { S } = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } , \mathbf { v } _ { 4 } \right\}
Barycentric coordinates: (18,12,14,18) \left( \frac { 1 } { 8 } , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 } \right)


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