# Linear Algebra - Point

Zero-dimensional: Span of the empty set: The origin

A point (x, y) can be represented in the plane by a {'x','y'}-vector$\begin{bmatrix} x \\ y \end{bmatrix}$.

A point can also be represented by {'x','y','z'}-vector$\begin{bmatrix} x \\ y \\ z\end{bmatrix}$. This representation is called homogeneous coordinates