Rotations in Geometry: Understanding the Concept
0:58
YouTubevinteachesmath
Rotations in Geometry: Understanding the Concept
In this short video, I show how to rotate a point about the origin 90, 180 and 270 degrees. The rotation technique I teach here is more conceptual so there will be no need to memorize the rotation formulas. Be mindful that this technique is most useful when the center of rotation is at the origin.
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Rotation Matrix
Rotation Matrix | Properties & Examples
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Rotation Matrix | Properties & Examples
Study.com
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In 3D, rotation matrices are used to rotate objects around the x, y, or z axes. Each axis has its own specific rotation matrix. For example, rotating around the z-axis uses a matrix that leaves the z-coordinate unchanged but rotates the x and y coordinates, effectively spinning the object in the xy-plane. Similarly, rotating around the x-axis affects the y and z values, while rotating around the y-axis affects the x and z values. These 3x3 matrices are always orthogonal, meaning their rows and c
In 3D, rotation matrices are used to rotate objects around the x, y, or z axes. Each axis has its own specific rotation matrix. For example, rotating around the z-axis uses a matrix that leaves the z-coordinate unchanged but rotates the x and y coordinates, effectively spinning the object in the xy-plane. Similarly, rotating around the x-axis affects the y and z values, while rotating around the y-axis affects the x and z values. These 3x3 matrices are always orthogonal, meaning their rows and c
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3D Rotations in General: Rodrigues Rotation Formula and Quaternion Exponentials
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