Let 1 , 2 , 3 be three nonzero vectors in 2 and let 1 , 2 , 3 be three real numbers. Consider the polyhedron defined as the solution set of the system of linear inequalities { { 1 1 2 2 3 3 Suppose there exists a pair of points and in (with ) such that 1 1 , 2 2 , and 3 3 . Is the polyhedron bounded or unbounded? Justify carefully