Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
-Consider the affinely independent set $\mathrm { S } = \left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}$ in $\mathfrak { R } ^ { 2 }$. These points form a triangular region. If the barycentric coordinates of a point $\mathbf { p }$ are $( + , 0 , + )$, then where is $p$ with respect to the triangle?
A) Vertex
B) Edge
C) Outside
D) Inside

Question

Quizplus · Accepted Answer

Barycentric coordinates represent a point's position in relation to the vertices of a triangle. The given coordinates $(+, 0, +)$ indicate that $p$ lies on the line segment between two vertices (since one coordinate is zero), but the positive signs imply it is actually inside the triangle, influenced by the vertices associated with the positive values.

Find the Barycentric Coordinates of P with Respect to the Affinely