Consider the following two statements
(I) If V be a vector space over F of dimension 5 and U and W are subspaces of V of dimension 3. Then U ∩ W ≠ {0}.
(II) Let V be the set of all polynomials over Q of degree 2 together with the zero polynomial. Then V be a vector space over Q.
Then which of the above statements are correct?
1
Only I
2
Only II
3
Both I and II
4
Neither I nor II