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In 3D Rotation Matrices Are Used To Rotate Objects Around The X

Video by @marmarjoon (Mghd) • Aug 06, 2026 • Verified Download Ready

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Video Title / Caption	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 columns are perpendicular unit vectors, and their determinant is 1. This ensures that the rotation doesn't distort the shape-it only changes the orientation. In practice, you can combine multiple rotation matrices to rotate an object in any direction. This is widely used in 3D determinant is 1. This ensures that the rotation doesn't distort the shape-it only changes the orientation. In practice, you can combine multiple rotation matrices to rotate an object in any direction. This is widely used in 3D modeling, robotics, physics simulations, and animations. #mathemathic #math #wiskunde #physics #Science
TikTok Creator	@marmarjoon (Mghd)
Audio Track Name	🎵 original sound - kolyakolb
Total Plays	265,480 views
Total Likes	❤️ 11,590 likes
Total Shares	🔁 1,417 shares

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Original Video Caption:
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 columns are perpendicular unit vectors, and their determinant is 1. This ensures that the rotation doesn't distort the shape-it only changes the orientation. In practice, you can combine multiple rotation matrices to rotate an object in any direction. This is widely used in 3D determinant is 1. This ensures that the rotation doesn't distort the shape-it only changes the orientation. In practice, you can combine multiple rotation matrices to rotate an object in any direction. This is widely used in 3D modeling, robotics, physics simulations, and animations. #mathemathic #math #wiskunde #physics #Science

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