What is the dimension of the subspace of R3\mathbb{R}^3R3 spanned by {(1,1,1),(2,2,2),(3,3,3)}\{(1, 1, 1), (2, 2, 2), (3, 3, 3)\}{(1,1,1),(2,2,2),(3,3,3)}?
333
222
111
000