Determine whether the following sets define vector spaces over R:
(a) A={x∈R:x=k^2,k∈R}
(b) B={x∈R:x=k^2,k∈Z}
(c) C ={p∈P^2 :p=ax^2,a∈R}
(d) D={z∈C:|z|=1}
(e) E={z∈C:z=a+i,a∈R}
(f) F ={p∈P^2 : d (p)∈R}
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