Let V=R2 and let HI be the subset of VI of all points on the line-2x + 3y = 0. Is H a subspace of the vector space VI? 1. Does Hi 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 HI whose sum is not in H, 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 HI 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 VI? 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

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