What is the Cartesian Plane?
In geometry, the cartesian plane is a two-dimensional surface that contains two perpendicular axes, the x-axis and the y-axis. The cartesian plane is also known as the xy-plane. All points on the cartesian plane can be described by an ordered pair of numbers, (x, y). The first number in the ordered pair is always the x-coordinate and the second number is always the y-coordinate. The cartesian plane is named after René Descartes, a French mathematician who invented it in the 17th century.
The x-axis and y-axis divide the cartesian plane into four quadrants. The quadrants are numbered from 1 to 4, starting with the upper right quadrant and going counterclockwise. Each quadrant contains all points whose x-coordinate and y-coordinate have the same sign. For example, all points in quadrant 1 have positive x-coordinates and positive y-coordinates. All points in quadrant 2 have negative x-coordinates and positive y-coordinates.
The origin is the point on the cartesian plane where the two axes intersect. The origin is given the coordinates (0,0). All points on the x-axis have a y-coordinate of 0 and all points on the y-axis have an x-coordinate of 0.
All points on the cartesian plane can be described by their distance from the origin and their angle from either axis. The distance from the origin is called the modulus or magnitude of a point. The angle from either axis is called the argument of a point.
Conclusion
The cartesian plane is a two dimensional surface that contains two perpendicular axes, the x – axis and y – axis. It is named after René Descartes, who invented it in 17th century. The four quadrants divide up space depending on whether both coordinates are positive or negative values. You can think about any point on this coordinate system by its distance away from origin (magnitude/modulus) as well as its angle (argument) from each axis!
FAQ
What is Cartesian plane explanation?
The cartesian plane is a two-dimensional surface that contains two perpendicular axes, the x-axis and the y-axis. The cartesian plane is also known as the xy-plane. All points on the cartesian plane can be described by an ordered pair of numbers, (x, y). The first number in the ordered pair is always the x-coordinate and the second number is always the y-coordinate. The cartesian plane is named after René Descartes, a French mathematician who invented it in the 17th century.
What is Cartesian system and explain?
The cartesian coordinate system is a system that uses two perpendicular axes, the x-axis and y-axis, to create a grid. All points on the grid can be described by an ordered pair of numbers, (x, y). The first number in the ordered pair is always the x-coordinate and the second number is always the y-coordinate. The cartesian coordinate system is named after René Descartes, a French mathematician who invented it in the 17th century.
Is Cartesian plane a geometry?
The cartesian plane is a two-dimensional surface that contains two perpendicular axes, the x-axis and the y-axis. The cartesian plane is also known as the xy-plane. All points on the cartesian plane can be described by an ordered pair of numbers, (x, y). The first number in the ordered pair is always the x-coordinate and the second number is always the y-coordinate. The cartesian plane is named after René Descartes, a French mathematician who invented it in the 17th century.
Why a plane is called Cartesian plane?
The cartesian plane is named after René Descartes, a French mathematician who invented it in the 17th century. The cartesian plane is a two-dimensional surface that contains two perpendicular axes, the x – axis and y – axis. All points on the cartesian plane can be described by an ordered pair of numbers, (x, y). The first number in the ordered pair is always the x-coordinate and the second number is always the y-coordinate.