Suppose that {u; v} is a linearly independent set of vectors and w is not in the span of {u; v}. Show that the set {u, v,w} is linearly independent.

So we no that a linearly independent set:

x1v1+x2v2+.......xpvp=0 where x has only the trivial soltuion

So does that mean i have to plug in u and w into that equation to show it will equal 0?

Im confused on how to show it when w is not in the span. Any Help would be appriciated