Suppose we define the dimensions as $.$ Then after transformation, we have D$1=<1,1,1,0,0>$ and D$2=<0,1,0,1,1,>.$ What representation do we have for D$3?$

A$.<1,1,0,0,0>$

B$.<0,0,0,1,1>$

C$.<1,0,1,0,1>$

D$.<1,0,0,0,1>$

E$.$ None of the above