Problem 1. (1 paint) Problem 3. (1 point Let V - R' and let # be the subset of V of all points on Determine if the subset of R' consisting of vectors of the form the line -2x- 3y - 0. Is H a subspace of the vector space . where at most one of a, b, and e is nowvern, is a subspace. Select true or false for each statement. (1) Does H contain the zero vector of VY [/True/False] The set contains the zero vector. . choose (7/True/False] The set is closed under vector addition. H contains the zero vector of V (7/True/False] The set is closed under scalar multiplication. H does not contain the zero vector of V [W/True/False] The set is a subspace. (2) Is # closed under addition? If it is, enter CLOSED . If it is not, enter two vectors in # 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 #, using a comma separated list and syntax such as 2, . comma separated list and syntax such as . . (3) Is # closed under scalar multiplication? If it is, enter (3) Is # closed under scalar multiplication? If it is, enter CLOSED . If it is not, enter a scalar in R and a vector in CLOSED . If it is not, enter a scalar in A and a vector in H whose product is not in H, using a comma separated I whose product is not in A, using a comma separated list and syntax such as 2,