Please show steps clearly and explain

On the set of vectors v = 1 and V ER consider the operation defined by and a scalar multiplication defined by *0 [1] - [ 10 ] Determine if these operations operations satisfy the following conditions. In each case, show why or why not. a) For all u and v in V, u Ov E V and u Q v = vou. b ) ue (ve w) = (utv)Ow. c) There is a zero vector, Ov such that u @Ov = u for all u E V. Find Ov, if it exists. d) For every v E V, there is another vector -v such that v @ -v = Ov. e) For any k ER, k Ov E V for all v E V. Moreover, ko (utv) = (kou) (kov). f) Fot any eand KER, (cth h) 1 0 v = v for all v E V.f) For any c and k ER, (c + k) Ou = (cou) @ (kou). 9) For any c and k ERR, ( CK ) @ ( v ) = CO ( kov )