Problem 14 (1 point) Let VR and let H be the subset of V of all points on the plane 3z 7y 7 21 Ha subspace of the vector space V' 1 Does H contain the zero vector of V choose Remaining time 2 Is I closed under addtion if it is, enter CLOSED If 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), (4,5,6, 3 is If 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, 3,4,5, 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 Problem 14 (1 point) Let V R and let H be the subset of V of all points on the plane 3x 7y 7s 21 Is Ha subspace of the vector space V 1 Does I contain the zero vector of V choose 2 is I closed under addition If it is, enter CLOSED If is not, enter two vectors in If whose sum is not in H using a comma separated list and syntax such as 1,2,3), 4,5,6 3 is I 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, 3,4,5 4 is a subspace of the vector space V You should be able to justify your answer by writing a complete, coherent, and detaled proof based on your answers to parts 1 3 choose

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Question: Problem 14. (1 point) Let VR and let H be the subset of V of all points on the plane 3z-7y-7 -21. Ha subspace

Problem 14. (1 point) Let VR and let H be the subset of V of all points on the plane 3z-7y-7 -21. Ha subspace of the vector space V'? 1. Does H contain the zero vector of V choose Remaining time 2. Is I closed under addtion? if it is, enter CLOSED. If & is not, enter two vectors in H whose sum is not in H, using a comma separated list and syntax such as

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