Find the Barycentric Coordinates of P with Respect to the Affinely

question 50

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 $\mathfrak { R } ^ { n }$ ?
I: $\left\{ \mathbf { v } _ { 2 } - \mathbf { v } _ { 1 } , \ldots , \mathbf { v } _ { \mathrm { k } } - \mathbf { v } _ { 1 } \right\}$ is linearly dependent if and only if $S$ is affinely dependent.
II: If $S$ is affinely independent and a point $p$ in $R ^ { n }$ has all positive barycentric coordinates determined by $S$ , then $p$ is not in aff $S$ .

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