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

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.
- $$\mathrm { S } = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } , \mathbf { v } _ { 4 } \right\}$$
Barycentric coordinates: $\left( \frac { 1 } { 8 } , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 } \right)$

A) Outside
B) Edge
C) Inside
D) Face