# How to define two dimensional plane?

I know that we use three non-linear (at least one of them not linear) dots to define a 3d plane, but how do we define a 2 dimensional plane ? I am very bad at math and yes I have searched that in the google but can't find anything, maybe that is a dumb question and we don't define planes in 2D, I don't really know.

Thanks for answers, I really need them.

• I think a plane is determined by two intersecting lines Commented Nov 15, 2018 at 20:09
• If we write like that plane is defined like that : en.wikipedia.org/wiki/Plane_(geometry), but I am trying to learn how do we define it in the math language, thanks anyway. Commented Nov 15, 2018 at 20:11
• In that case, a plane will be determined by the span of two linearly independent vectors. Commented Nov 15, 2018 at 20:13
• If by "3d plane", you are referring to a plane in $\mathbb{R}^3$, then "2d plane" isn't very meaningful because a "plane" in $\mathbb{R}^2$ is simply all of $\mathbb{R}^2$. Commented Nov 15, 2018 at 20:14
• @UmutPiynar I mean $\mathbb{R}^2$ itself is the plane. Commented Nov 15, 2018 at 20:18