Chapter 8.2, Problem 15E

a).

To determine

To show: The set S is affinely independent.

b).

To determine

To find: The barycentric coordinates of ${\text{p}}_{\text{1}},{\text{p}}_{\text{2}},{\text{p}}_{\text{3}},{\text{p}}_{\text{4}}$ and ${\text{p}}_{\text{5}}$.

c).

To determine

The signs of the barycentric coordinates of points ${\text{p}}_{\text{6}},{\text{p}}_{\text{7}}$ and ${\text{p}}_{\text{8}}$.