Coordinate System - Cartesian Coordinate System

Cartesian Coordinate System

The prototypical example of a coordinate system is the Cartesian coordinate system. In the plane, two perpendicular lines are chosen and the coordinates of a point are taken to be the signed distances to the lines.

In three dimensions, three perpendicular planes are chosen and the three coordinates of a point are the signed distances to each of the planes. This can be generalized to create n coordinates for any point in n-dimensional Euclidean space.

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Other articles related to "cartesian coordinate system, coordinate system, coordinates, coordinate, coordinate systems, cartesian coordinates, system":

Cartesian Coordinate System
... The prototypical example of a coordinate system is the Cartesian coordinate system ... perpendicular lines are chosen and the coordinates of a point are taken to be the signed distances to the lines ... three perpendicular planes are chosen and the three coordinates of a point are the signed distances to each of the planes ...
Construction Surveying - Coordinate Systems Used in Construction
... Land surveys and surveys of existing conditions are generally performed according to geodesic coordinates ... However for the purposes of construction a more suitable coordinate system will often be used ... surveying, the surveyor will often have to convert from geodesic coordinates to the coordinate system used for that project ...
Euclidean Vector - Representations
... Euclidean space can be represented as coordinate vectors in a Cartesian coordinate system ... These numbers are the coordinates of the endpoint of the vector, with respect to a given Cartesian coordinate system, and are typically called the scalar ... of unit length pointing up the x, y, and z axis of a Cartesian coordinate system, respectively ...
Coordinate Conditions
... In other words, the real world does not care about our coordinate systems ... However, it is often useful to fix upon a particular coordinate system, in order to solve actual problems or make actual predictions ... A coordinate condition selects such coordinate system(s) ...
Cartesian Coordinate System - Applications
... spaces are difficult to visualize, the algebra of Cartesian coordinates can be extended relatively easily to four or more variables, so that certain calculations involving many variables can be done ... geometry of higher-dimensional spaces.) Conversely, it is often helpful to use the geometry of Cartesian coordinates in two or three dimensions to visualize algebraic relationships between ... navigation use latitude and longitude in a similar two dimensional system ...

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