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Name + UID:________________________ Section (circle one): C.Wei Math 2250-4 Quiz 5 October 11, 2013 S.Bagley 1a) Define what a linear combination of vectors v1 , v2 , ... vn is. (2 points) 1b) Define what it means for vectors v1 , v2 , ... vn to be linearly independent. (2 points) 2) The span of the vectors 1 u= K2 , v = 2 K3 0 is a plane in =3 . Find for which x, y, z T 4 the system x c1 u C c2 v = y z can be solved for c1 , c2 , in order to find the implicit equation a x C b y C c z = d of this plane. (6 points)