Question: Q1. Determine whether each set equipped with the given operation is a 1rector space. For those that are not vector space identify the vector space

Q1. Determine whether each set equipped with the given operation is a 1rector space. For those that are not vector space identify the vector space axioms that fail. (a) The set of all triples of real numbers of the form (0, 1, :r) with the operations (0:1FF)+{U;1J') = {[11:39 + :9") k[0,1,y) = (a, 1; Icy). (b) The set of polynomials of the fortn P3 = (121:2 + (11:: + an under the operations of addition and scalar multiplication as (azxg + (111: + at.) + {hzxz + blx + b0) = (:12 + 12sz + (a1 + 51):: + {on + bu] idiotzir2 + nix + at.) = kagxz + 0x + lion

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