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8:35
YouTube
Jonathan Robinson
3D Rotations using Matrices | Mr Mathematics
Link to Lesson: A-Level Further Mathematics Core Pure 1: https://mr-mathematics.com/product/further-maths-yr1-linear-transformations-3d-transformations/ Playlist: Core Pure 1 A-Level Further Mathematics: Matrices: https://www.youtube.com/playlist?list=PLo2qbrU8B_ejoC94DFPAfUBSHVw_s1jGt About Me: I’m Jonathan Robinson, Head of Maths in the ...
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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
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