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 if $\mathbf { p }$ is a point on the line through $\mathbf { a }$ and $\mathbf { b }$ ?
I: $\mathbf { p }$ is an affine combination $\mathbf { a }$ and $\mathbf { b }$ .
II: $\widetilde { \mathbf { a } } , \widetilde { \mathbf { b } }$ , and $\tilde { \mathbf { p } }$ are linearly independent. of $\text { [a b p] is } 0 \text {. }$
III: The determinant of is 0 .

A) I and II
B) I and III
C) II
D) None are true.