Question about the relationship between subspaces and dimension in vector space. Hello I'm wanting to answer this question but I cannot figure out really what to do.
Suppose $\overrightarrow{v_1},\overrightarrow{v_2},\overrightarrow{v_3},\overrightarrow{v_4}$ are vectors in a vector space $V$ with dimension $3$, what are the possible dimensions of the subspace given by $U = Span\{\overrightarrow{v_1},\overrightarrow{v_2},\overrightarrow{v_3},\overrightarrow{v_4}\}$ of $V$?
What I have tried so far: Nothing. Can't think of what to do here.

Hint :
$0,1,2$ or $3$. in the $3$-dimensional vector space, $4$ given vector is linear dependent.
