Let v be the set of real numbers endowed with the following operations of addition (b) cation () defined as follows: and scalar multipli- (a) (addition) for each v, w e v, v田w = 5 + v + w (where + is ordinary addition of real numbers). (b) (scalar multiplication) for each r e r and each v e v. rs v-sr-i̇) + rv. prove that (v, b, e) satisfies the eight axioms of vector space. in particular, identify the additive identity 0 e v, and the additive inverse -v of each vector v e v.