SOLUTION: let (vec)u = 1 5 -2 and (vec)v = 2 12 -3 find a vector w not in SPAN{(vec)u,(vec)v}. (vec)w = ?

Algebra ->  Vectors -> SOLUTION: let (vec)u = 1 5 -2 and (vec)v = 2 12 -3 find a vector w not in SPAN{(vec)u,(vec)v}. (vec)w = ?      Log On


   

Question 836558: let (vec)u =
1
5
-2
and (vec)v =
2
12
-3
find a vector w not in SPAN{(vec)u,(vec)v}.
(vec)w = ?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Since u and v are not parallel, the span of u and v is a plane. Any vector w not in the plane containing the vectors (1,5,-2) and (2,12,-3) suffices. For example, w = (2,5,-2).