determine if subspace or not

show that the set a=  x1,x2, x3  such that x3 =(x1x2)^2  is not a subspace
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Clearly e=(1,1,1) belongs to the set a, however, 2e=(2,2,2) doesn't belong to a because (2*2)^2=16 different from 2, so a is not a subspace.
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