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.
-Which of the following statements are true for the set $S = \left\{ \mathbf { v } _ { 1 } , \ldots , \mathbf { v } _ { \mathrm { k } } \right\}$ in $\mathfrak { R } \mathrm { n } ^ { \text {? } }$
I: If $S$ is affinely independent, then a point $p$ in $R ^ { n }$ cannot have any barycentric coordinates determined by $\mathrm { S }$ that are equal to 0 .
II: If $S$ is affinely independent, then a point $p$ in aff $S$ has a unique representation as an affine combination of $\mathbf { v } _ { 1 } , \ldots , \mathbf { v } _ { \mathrm { k } }$ .

A) II
B) Both I and II
C) I
D) Neither I or II