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

V $=\{\backslash$alpha $[1,1]|\backslash$alpha in $\}$

W $=\{[\backslash$alpha $,\backslash$alpha $]|\backslash$alpha $>=0,\backslash$alpha $,\backslash$alpha $$ in $\}$

U $=\{[1+\backslash$alpha $,\backslash$alpha $]|\backslash$alpha in $\}$

T $=\{[\backslash$alpha $,2(\backslash$alpha $+1)]|\backslash$alpha in $\}$