Euclidean geometry | Functions and mappings | Transformation (function) | Linear algebra

Rotation of axes

In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle . A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. 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 rotation of axes is a linear map and a rigid transformation. (Wikipedia).

Rotation of axes
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What is the difference between rotating clockwise and counter clockwise

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From playlist Transformations

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Determining clockwise vs counter clockwise rotations

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Rotations in degrees for counter and clockwise directions

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7 Rotation of reference frames

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From playlist Life Science Math: Vectors

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How do the rotations of counter clockwise and clockwise similar

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Linear Algebra: Rotation Transformations

Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/

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How to determine the rotation of a heart

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From playlist Transformations

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ʕ•ᴥ•ʔ Simple Example of Geometry Transformations Rotations

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From playlist Grade 9 Math (Canada)

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MIT 3.60 | Lec 8b: Symmetry, Structure, Tensor Properties of Materials

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From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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MIT 3.60 | Lec 10a: Symmetry, Structure, Tensor Properties of Materials

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From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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From playlist Chem 107: Week 1

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Chemistry 107. Inorganic Chemistry. Lecture 02

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Thermodynamics and Chemical Dynamics 131C. Lecture 06. The Rotational Partition Function.

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From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics

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11. Mass Moment of Inertia of Rigid Bodies

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From playlist MIT 2.003SC Engineering Dynamics, Fall 2011

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Rotating a parallelogram 270 degrees counterclockwise

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From playlist Transformations

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The Rotation Matrix

A point multiplied by the rotation matrix is rotated by theta degrees. What is the rotation matrix, though, and why?

From playlist Fun

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How does the fixed point affect our rotation

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Chemistry 107. Inorganic Chemistry. Lecture 05

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Rotation matrix | Ellipse | Coordinate system | Origin (mathematics) | Identity matrix | Map (mathematics) | Translation of axes | Parabola | Rotation | Linear map | Polar coordinate system | Mathematics | Cartesian coordinate system | Focus (geometry) | Hyperbola | Orthogonal matrix | Trigonometric functions | Rigid transformation | Conic section | Analytic geometry | Rotation (mathematics)