Let V=R2 and let HI be the subset of VI of all points on the line -2x + 3y =-6. Is Ha subspace of the vector space V? 1. Does Hi contain the zero vector of V? 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 H, using a comma separated list and syntax such as <1,2>, <3,4>. <-3,-4> 3. Is Hi closed under scalar multiplication? If it is, enter CLOSED. If it is not, enter a scalar in Rl and a vector in HI whose product is not in H, using a comma separated list and syntax such as 2, <3,4> CLOSED 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. H is a subspace of V

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