3. (10 marks) Let V be a vector space, and assume B = {v1, ..., v„} is a set of vectorsin V. Show that the set%3D S = {v –

vn} U{v2 – V1, V3 – V2, ..., Vn – Vn-1} is linearly dependent. You may do a formal proof by induction, or you may show this directly for an arbitrary n.