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)