Origin

The origin of a coordinate system is the center point or zero point where the axes meet.

In Euclidean Systems

In the Euclidean plane $\mathbb{R}^2$ , the origin is $(0,0)$ . Similarly, in the Euclidean space $\mathbb{R}^3$ , the origin is $(0,0,0)$ . This way, in general, the origin of an $n$ -dimensional Euclidean space $\mathbb{R}^n$ is the $n$ -tuple $(0,0,\ldots,0)$ with all its $n$ components equal to zero.