Question 2-You are given a set V and two operations is a real vector space (i.e, a vector space over R) or not by providing a proof of the axioms or a counter example to one of the axioms. (i) V-Z the integer numbers and +B-, the usual addition and multiplication in R. (ii) V = R2 and for u = (u1,u2), v = (ui, t 2) R2 and E R: and . Explain whether (V, (iii) V-|-1,1] and for u, v E [-1,1] and E R (ie) v-R2 and for u = (tll: t12), v = (ri,g) E R2 and E R: VI VI AI