\b[True]. Both <vector subspaces> contain zero, and if $u,v\in U\cap W$, every <linear combination> $\alpha u+\beta v$ belongs to each of $U$ and $W$. Thus it belongs to their intersection. This proves the <intersection of vector subspaces> is a <vector subspace>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ib / Paper 3 / 7F / a / Solution

 Solution (source code)