hey everyone well here's my prob:

K is a Body, V is a vector space over K
u,v,w are element of V

Prove that the following statements are equivalent:

(i) u,v,w are linearly dependent
(ii) One of the following statements is true
(1) v=0
(2) a element of K with w=a*v is existing
(3) b,c element of K with b*v+c*w=u are existing



alright, I get how any of the (ii) statements imply (i), but not the other way round.... I hope anyone can help

sorry for my bad math english... if anyone can paraphrase it in the correct terms, he is more than welcome.
thx in advance