in 2-dimensional space
A 2-dimensional (2D) plane is a flat surface that extends infinitely in two directions: length and width. It's characterized by two dimensions, often represented by the x-axis (horizontal) and y-axis (vertical) in a coordinate system.
A 2-dimensional plane is a geometric surface that has:
In a Cartesian coordinate system, any point on the plane can be identified by a pair of coordinates (x, y). The intersection of the x-axis and y-axis is called the origin, denoted by (0, 0).
Let's imagine a piece of graph paper. Each square on the paper represents a unit on the plane. One can plot points, draw shapes, and measure distances using the x and y coordinates.
Our computer screen is a 2D plane. The screen pixels are arranged in a grid of rows (y-axis) and columns (x-axis). When we move your cursor, we navigate points on this 2D plane.
Maps are another example of a 2D plane. Locations on a map are given by coordinates (latitude and longitude), which can be thought of as x and y coordinates.
Drawing and painting on a canvas is done on a 2D plane. Artists use the x and y dimensions to create images, designs, and perspectives.
In mathematics, a 2D plane is often used to solve geometry problems, graph equations, and study shapes like circles, triangles, and polygons.
Let's refer the following simple graph, In this graph, the point (x, y) is a location on the 2D plane, defined by its distance from the x-axis and y-axis.