Let v be the set of real numbers endowed with the following operations of addition (b) and scalar multipli- cation (8) defined as follows: (a) (addition) for each v, w e v, vb w 8+v + w (where + is ordinary addition of real numbers). (b) (scalar multiplication) for each r e r and each ve v, r v = 8(r-l ) + rv prove that (v, a, s) satisfies the eight axioms of vector space. in particular, identify the additive identity o the additive inverse -v of each vector v e v v, and