solve correctly plz

\\- u - -- -u --- Q4. a) Use the definition of vector space to see whether the following set together with the given operations is a vector space, If it is not a vector space, list the properties that fail to hold. The set of all ordered triples of real numbers of the form (0,0, 2) with the operations (0,0, z) 6 (0,0, z') = (0,0, z + z') and co(0,0, z) = (0,0,cz). 5) CLO-2 b) Investigate the dimension of the following subspace of R4. 5) CLO-2 All vectors of the form (a,b,c,d), where c = a b and d = a +1)