Problem 1: Let H be a subset of R3 defined by I1 T3 (a) (3 points) Is the zero vector in H? (b) (7 points) I#x and y are two vectors in H. is | + y abo a vector in H? (c) (7 points) If | is a vector in H and s a scalar, is ar also a vector in H? (d) (3 points)Is H a subspace of R3