What is dimensions in mathematics?

In mathematics, dimensions refer to the number of independent directions or coordinates needed to describe a point in space.

For example, a line has one dimension because you only need one coordinate to locate a point. A plane has two dimensions (length and breadth), and space has three dimensions (length, breadth, and height). Dimensions help in geometry, algebra, and physics to describe shapes, positions, and objects.

Examples of dimensions

• 1D – A line (needs only x-coordinate).
• 2D – A square, circle (needs x and y coordinates).
• 3D – A cube, sphere (needs x, y, and z coordinates).
• nD – Higher dimensions used in advanced mathematics.

Dimensions are important in understanding geometry, vectors, and real-world spaces like maps and 3D models.