1point) let h be the set of all points in the second and fourth quadrants in the plane v that is, h- (e, y)y 0) is h a subspace of the vector space v? r2 1. does h contain the zero vector of v? choose 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 h, using a comma separated list and syntax such as 3. is h closed under scalar multiplication? if it is, enter closed. if it is not, enter a scalar in r and a vector in h whose product is not in h, using a comma separated list and syntax such as 2, 3, 4> 4. is h a subspace of the vector space v? you should be able to justify your answer by writing a complete, coherent, and detailed proof based on your answers to parts 1-3 choose