Define position vector of point.

The position vector of a point is a mathematical representation that describes the location of that point in space relative to a specific origin. It is typically expressed in a coordinate system, such as Cartesian coordinates.

Components of a Position Vector

A position vector is usually denoted as **v** and can be represented in three-dimensional space as:

• v = (x, y, z)

Here, **x**, **y**, and **z** are the coordinates of the point in relation to the origin (0, 0, 0).

Understanding the Concept

In simpler terms, the position vector points from the origin to the location of the point. It provides both the direction and the distance from the origin to that point.

Applications

Position vectors are widely used in physics and engineering to analyze motion, forces, and other spatial relationships. They help in visualizing and calculating the dynamics of objects in space.