Deal with the following concepts: A point p is called a positive combination of the points v₁,........., v_k if p = c₁v₁ +..........+c_kv_k, with all c_i ≥ 0. The set of all positive combinations of points of a set S is called the positive hull of S and is denoted by pos S.

What special property does set S in Exercise 31 have that makes pos S ∩ aff S = conv S?

Data From Exercise 31

Deal with the following concepts: A point p is called a positive combination of the points v₁,........., v_k if p = c₁v₁ +..........+c_kv_k, with all c_i ≥ 0. The set of all positive combinations of points of a set S is called the positive hull of S and is denoted by pos S.

Let S = {(–1, 1), (1, 1)} in R². Describe the set pos S geometrically.