Span of 3 linearly dependent vectors The vectors are $(1,1,1)$,$(1,2,0)$, and $(2,3,1)$. I have shown that they are linearly dependent but don't really know how to find their span. (Note: my lecturer just literally defined what a span is and didn't get to the part where we actually calculate spans, so I'm completely lost!). Any help will be appreciated.

Given a set of vectors their span is given by the set of all linear combinations of those vectors.
In that case the span is
$$a(1,1,1)+b(1,2,0)+c(2,3,1)$$
Since the three vectors are linearly dependent but $(1,1,1)$ and $(1,2,0)$ are linearly independent the span is also given by
$$a(1,1,1)+b(1,2,0)$$
or by any other pair of the three vectors. In that case any pair is a basis for the span of the three given vectors.
