Week 13 Video 1: Rotations in 3D - Rotation Matrices, Euler Angles and Quaternions
16:55
YouTubeClassical Mechanics Videos
Week 13 Video 1: Rotations in 3D - Rotation Matrices, Euler Angles and Quaternions
In this video, we'll explore the math behind representing objects in 3D. Rotation matrices are often the first (and only!) concept we're taught about 3D rotations. There are many simpler and more intuitive descriptions of the 3D rotational state of a rigid body. Euler angles (often used in gaming and rotation) are very simple, but not without ...
1.8K viewsApr 5, 2021
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mathswithmuza on Instagram: "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 orthogo
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mathswithmuza on Instagram: "In 3D, rotation matrices are used to rotate
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