suppose that vector addition and scalar multiplication are defined component wise for each of the sets below. select all the sets that are vecor spaces over R$^2$

V $=\{$alpha$[1,1]|$ alpha element R$\}$

W $=\{[$alpha$1,$ alpha$2]|$ alpha$2>=0,$ alphai element R$,$ i $=1,2\}$

U $=\{[1+$alpha, alpha$]|$ alpha element R$\}$

T $=\{[$alpha$,2($alpha $+1)|$ alpha element R$\}$