can some tell me that my answer is right or wrong

can some tell me that my answer is right or wrong

If $\mathbb R$^5be a vector space .and
$$W_1={(0,x_2,x_3,x_4,x_5)/x_2,x_3,x_4,x_5\in R}$$and
$$W2={(x_1,0,x_3,x_4,x_5)/x_1,x_3,x_4,x_5\in R}$$be two subspaces of $R^5$
then the dimension of $W1\cap$W_2 is according two me its dimension is 3
as then $W_1\cap W_2$ have elements of the form $$(0,0,x_3,x_4,x_5)$$
hence $W_1\cap W_2$ will be isomorphic to $ R^3$.