1. ## Describing a subspace

Hello

What do i need to do to describe the following subspaces of $R^3$

$\left<{(1,1,1,)}\right>$
$\left<{(1,2,3), (3,2,1,), (-2,-2,-2)}\right>$

Thanks

2. I assume you actually mean "the subspaces spanned by the vectors ...".

Every subspace of $R^3$ is, geometrically, either
1) a line through the origin
2) a plane containing the origin
3) all of $R^3$.

Which are these?