. A subset H of a vector space V is a subspace of V if the following conditions are​ satisfied: (i) the zero vector of V is in​ H, (ii) ​u, v, and uv are in​ H, and​ (iii) c is a scalar and cu is in H. Is this statement true or​ false? A. ​False; parts​ (ii) and​ (iii) should state that u and v represent all possible elements of H. B. ​True; this is the definition of a subspace. C. ​False; part​ (i) is not required. D. ​False; these conditions are stated​ correctly, however there is at least one additional condition.