Determine which sets are vector spaces under the given operations over the scaler field of real numbers TR. For those that are not vectors spaces, list at least one axiom that fail to hold . a) The set of all real numbers of the form (1, x) with the operations defined as, ( I, y ) + ( 2, y' ) = ( 1, y+y') and k ( 2,y ) = (1, ky ) IN The set of all pairs of seal numbers of the forom ( n, y, z) whore X2 0 and y, 2 So; with The standand operations on TDZ