Determine whether the given set, together with the specified operations of addition and scalar multiplication, is a vector space. If it is not, select all of the axioms that fail to hold. (Let u, v, and w be vectors in the vector space V, and let c and d be scalars.) The set of all vectors x y in ℝ2 with x ≤ 0, y ≤ 0 (i. e., the third quadrant), with the usual vector addition and scalar multiplication