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

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.
- $$S = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } , \mathbf { v } _ { 4 } \right\}$$
Barycentric coordinates: $( 4 , - 2,0 , - 1 )$

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