Chapter 8.2, Problem 16E

(a)

To determine

To show: The set S is affinely independent.

(b)

To determine

To find: The barycentric coordinates of ${\text{p}}_{\text{1}},{\text{p}}_{\text{2}}$ and ${\text{p}}_{\text{3}}$.

(c)

To determine

The signs of the barycentric coordinates of points ${\text{p}}_4{\text{,p}}_{\text{5}},{\text{p}}_{\text{6}}$ and ${\text{p}}_{\text{7}}$.