H is a subspace of V At least one of the answers above is NOT correct. 2 of the questions remain unanswered. Let V=R and let H be the subset of V of all points on the plane 7x-6y+4x=-42. Is H a subspace of the vector space V? 1. Does H 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 , . 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, . 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 Note: In order to get credit for this problem all answers must be correct. Preview My Answers Submit Answers