2. How many vectors are in {vi, 12, v)? Enter "inf" if the an- Problem 9. (1 pain!) swer is infinitely many- - 3. How many vectors are in Span (v, vv,]? Enter inf" if Let vi the answer is infinitely many. - I. Is w in { vo, va, v3)? Type "yes" or "no". _ 4. Is w in the subspace spanned by {n, va,v)? Type yes" orProblem 6. (1 point) Problem 7. (I paint) Let V = R' and let N be the subset of V of all points on the plane Let V = R' and let / be the subset of V of all points on the plane Ar-3y -57 =0. Is H a subspace of the vector space V? -7x-4y-27 = 28. Is N a subspace of the vector space V? (I) Does # contain the zero vector of V? (1) Is # nonempty? . choose . choose . H contains the zero vector of V His empty . H does not contain the zero vector of V . His nonempty (2) Is A closed under addition? If it is, enter CLOSED . (2) Is # closed under addition? If it is, enter CLOSED . If it is not, enter two vectors in I whose sum is not If it is not, enter two vectors in N whose sum is not in N, using a comma separated list and syntax such as in #, using a comma separated list and syntax such as ,