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Learn how to rotate a Cartesian coordinate system by an angle and transform the coordinates of points and curves. See examples, formulas, and applications of rotation of axes in two dimensions.
Learn about the concept of rotation in geometry and algebra, and how it can be represented in different dimensions and formalisms. Find out the definitions, properties, and examples of rotations, as well as their applications in physics and mechanics.
A rotation matrix is a matrix that rotates vectors or points in Euclidean space. Learn the definition, properties, formulas, and examples of rotation matrices in two and three dimensions.
The angle θ and axis unit vector e define a rotation, concisely represented by the rotation vector θe.. In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense (e.g., clockwise) of the ...
Learn about the rotation of Earth around its own axis, changes in the orientation of the rotation axis, and the history of the idea of a rotating Earth. Find out how Earth's rotation affects the length of a day, the seasons, the tides, and the shape of the planet.
Learn how to convert geographic coordinates among different formats, systems and datums. Find formulas, methods and examples for latitude, longitude, height and other parameters.
The right-hand rule is a convention and a mnemonic for various topics in mathematics and physics, such as cross product, magnetic force, coordinate system, and rotation. Learn the history, examples, and variations of the right-hand rule from this Wikipedia article.
Learn about the angle between magnetic north and true north at a particular location on the Earth's surface, and how it varies over time and place. Find out how to measure, determine and model magnetic declination from maps, charts and instruments.