12. (5%) Let S be the set of all positive real numbers. Now, we want to make S as avector space in V by asking the following definitions for vectors, vector addition,and scalar multiplication: ㆍ Each element of S will be considered as a "vector" in V. ㆍ For A, B

S, a "vector sum" is defined as A+ B ≡ AB
where the product on the right is the usual product of two real numbers. ㆍFor 

 R (real number), and A 

 S, a "scalar multiplication" is defined as cㆍA≡ Ac,that is the real number A raised to the c power.Based on these, what is the zero vector in V?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4