(1 point) Let HI be the set of all points in the second and fourth quadrants in the plane V = R². That is, H = {(x, y) | xy≤0}. Is Hla subspace of the vector space VI? 1. Does H contain the zero vector of VI? H does not contain the zero vector of V◆ 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in HI, using a comma separated list and syntax such as <1,2>, <3,4>. 3. Is H❘ closed under scalar multiplication? If it is, enter CLOSED. If it is not, enter a scalar in Rl and a vector in H whose product is not in HI, using a comma separated list and syntax such as 2, <3,4>. 4. Is H❘ a subspace of the vector space VI? You should be able to answer this based on your answers above. H is not a subspace of V 9