# Ray

## Definition

The locus of point from a position in a direction on a plane is called ray.

The ray is one directional straight line. It is actually formed by a point which starts from a position on a plane and continues its traveling infinitely in a direction. It seems, it is a part of the straight line.

### Formation

1. $R$ is a location on a plane.
2. A point is started travelling from location $R$ and continued travelling infinitely in the same direction by passing through various locations including $S$.
3. The locus of the travelling point from a particular location formed a straight path in a direction and it is called a ray.

#### Representation

According to the way a ray is formed in geometrical system, the ray is represented in mathematical form in mathematics.

1. Firstly, write the name of location where the ray is started traveling and then write name of a point through which the ray is passed to continue travelling infinitely.
2. Display a right arrow symbol $(\rightarrow)$ over the names of both points which play vital role in forming the ray.

Here, $R$ is the location where the ray is started and then $S$ is another location through which the ray is passed to continue travelling infinitely. Therefore, write names of both points and then draw a right arrow above them to represent a ray in mathematics. In other words, $\overrightarrow{RS}$ is the mathematical representation of a ray.