Question: (1 point) Let V = [R2, let H be the subset of V of all points on the line y = 2x, and let K

(1 point) Let V = [R2, let H be the subset of V of all points on the line y = 2x, and let K be the subset of V of all points on the line y = 3x. Is H U K a subspace of the vector space V? 1. lsH U K nonempty? H union K is nonempty 3 2. Is H U K closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H U K whose sum is not in H U K, using a comma separated list and syntax such as , . 3. Is H U K closed under scalar multiplication? If it is, enter CLOSED. If it is not, enter a scalar in R and a vector in H U K whose product is not in H U K, using a comma separated list and syntax such as 2, . 4. Is H U K a subspace of the vector space V? You should be able to justify your answer by writing a complete, coherent, and detailed -roof based on our answers to parts 1-3

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