G.1) Visual linear independence and linear dependence

G.1.b.i) Three spanners

Here's a new spanning set for a subspace S of 3D.

Here is a plot showing
          
for r, s and t running from -1 to 1 in incrtements of 0.5:

See the same plot from the viewpoint of 12 spanner[1]:

See the same plot from the viewpoint of 12 spanner[2]:

Making no calculations at all, fill the blank with either the word "dependent" or the word "independent:"
This visual evidence indicates to me that
         {spanner[1], spanner[2], spanner[3]}
is a linearly________________spanning set.

Making no calculations at all, fill the blank with the appropriate number.
This visual evidence indicates to me that the dimension of the subspace of 3D spanned by
         {spanner[1], spanner[2], spanner[3]}
is ________________.