Point

A point in geometry is a specific location in space. It has no dimensions, only position. Points are fundamental entities in geometry and are used to define other geometrical shapes, such as lines and planes.

In a given coordinate system, a point is represented by coordinates. In a two-dimensional Cartesian coordinate system, a point is represented by an ordered pair of numbers , where ‘x’ is the distance along the x-axis, and ‘y’ is the distance along the y-axis. For example, the point is 3 units along the x-axis and 2 units along the y-axis from the origin.

The point (3,2) in the cartesian coordinate system

In a three-dimensional space, a point is represented by an ordered triple of numbers , specifying its position along the x, y, and z axes.

A point in three dimensions.

Points are essential in many areas of mathematics, including algebra, geometry, and calculus, as well as in physics, engineering, computer graphics, and more.

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