Find the Barycentric Coordinates of P with Respect to the Affinely

Multiple Choice

Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
-Consider the affinely independent set $S = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}$ in $R ^ { 2 }$ . These points form a triangular region. If the barycentric coordinates of a point $\mathbf { p }$ are all positive $( + , + , + )$ , then where is $\mathbf { p }$ with respect to the triangle?

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