Non-Colinear Vectors Spanning Set

Every other vector can be created as a combination of the 2 non-collinear vectors.

2D Spanning Set

If a pair of 2D vectors is:

• Non-zero components
• Non-collinear Then they span $R^2$. They will be considered Co-planar Vectors

3D Spanning Set

You need atleast 3 3D vectors to span $R^3$

• Non-zero components
• Non-collinear
• Non-coplanar You cannot have 2 vectors that span $R^3$ as those would always be considered Co-planar Vectors