Question

Are lines subspaces of R^2

Answer 1

what defines a sub'space'?

Answer 2

A subspace is a nonempty subset \[V \subset \mathbb{R} ^{n} \] if when vectors x, y\[x, y \in V, a \in R\], then \[x+y \in V, ax \in V\]

Answer 3

isnt there something about the zero vector?

subspaces have to pass thru the origin ... and not all lines do that do they?

Answer 4

yeah that is right, okay thanks