Vector space is a space consisting of vectors, together with the associative and commutative operation of addition of vectors, and the associative and distributive operation of multiplication of vectors by scalars.
For each $W \subseteq V \ $ if $\ W$ is a vector space itself (which means that it is closed under operations of addition and scalar multiplication), with the same vector space operations as $V$ has, then $W$ is a subspace of $V$.
Give an example of 3 subspaces of $V$ such that $w_1 \cap (w_2+w_3) \neq (w_1 \cap w_2) + (w_1 \cap w_3)$
Note: I tried everything i could but the two sides are equal in all of my examples ...
Thanks in advance.