span of two vectors
1. The problem statement, all variables and given/known data
Let A be the set of all vectors with length 2 and let B be the set of all vectors of length 4.
How do you show that the span of the sum of a vector in A and a vector in B is all vectors with lengths between 2 and 4?
EDIT: change 4 o 6
I tried drawing triangles but that got me nowhere. Do I actually need to write out the components or something?
Let me know if I did not explain the problem okay.
2. Relevant equations
3. The attempt at a solution