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This is an accepted version of this page This is the latest accepted revision, reviewed on 28 January 2025. Computer graphics images defined by points, lines and curves This article is about computer illustration. For other uses, see Vector graphics (disambiguation). Example showing comparison of vector graphics and raster graphics upon magnification Vector graphics are a form of computer ...
A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. [1] In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly.
A small portion of the Cartesian coordinate system, showing the origin, axes, and the four quadrants, with illustrative points and grid. Date: 8 September 2008: Source: Made by K. Bolino , based upon earlier versions. Author: K. Bolino: Permission (Reusing this file) Insofar as to the work original to me,
A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane. In a Cartesian plane, one can define canonical representatives of certain geometric figures, such as the unit circle (with radius equal to the length unit, and center at the origin), the unit square (whose diagonal has endpoints at (0, 0) and (1, 1)), the ...
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rotates points in the xy-Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point.
Image:Canada_blank_map.svg — Canada. File:Blank US Map (states only).svg — United States (including Alaska and Hawaii). Each state is its own vector image, meaning coloring states individually is very easy. File:Blank USA, w territories.svg – United States, including all major territories.
A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane. The set R 2 {\displaystyle \mathbb {R} ^{2}} of the ordered pairs of real numbers (the real coordinate plane ), equipped with the dot product , is often called the Euclidean plane or standard Euclidean plane , since every Euclidean plane is isomorphic to it.