I'm confused about spanning sets...I can't find any information about them from my book and I must have forgotten going over it in class.

Here's the question:

"W is the subspace of R^4 consisting of all vectors of the form [a,b,a-b,a+c] where a, b, c are in R. Find a spanning set for W."

A spanning set is a set of vectors whose linear combination is the subspace W (is this correct?)

So would this be a spanning set?

{a[1,0,1,1], b[0,1,-1,0], c[0,0,0,1]}