1. The problem statement, all variables and given/known data Prove that any collection of vectors which includes [tex]\theta[/tex] (zero vector or null vector)is linearly dependent. Thus, null vector cannot be contained in a basis. 3. The attempt at a solution Well, I know that in order for a collection of vectors to to be linearly dependent, one vector can be expressed as a linear combination of other vectors such as: let s be some non-zero scalar let v be vectors s1v1 + s2v2 + .... + skvk = 0 but lets say that v2 was a zero vector (is this what the question is asking?), -s2v2 = s1v1 + s3v3 + ... + skvk? I don't quite get the phrase "any collection of vectors which includes 0(theta)"