True/False: is a vector space.

True/False: The -axis is a subspace of .

True/False: The zero vector is a subspace of .

True/False: Any plane in is a subspace of .

True/False: Let be a set of vectors in a nonzero finite dimensional vector
space . The set of all linear combinations of the vectors in is not a vector
space.

True/False: Let be a set of vectors in a nonzero finite dimensional vector space . If
spans , then spans .