Linear Independence and Proving Linear Dependence of Vector Sets

[eyehategod]

I have a final tomorrow. Can anyone guide my through this proof?
I know i have to wirite the set of vectors as a linear combo, but what can I do nect?

Prove that any set of vectors containing the zero vector is linearly dependent.

 

[Dick]

Make the constant in front of the zero vector non-zero and let all of the others be zero. Of course.