Rotation between Cartesian frames

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Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Explores normal acceleration, spatial rotations, vector rotation, and angular speed concepts in physics.

Explores rotation in 3D space, calculating matrices using roll, pitch, and yaw angles.

Explores changing bases for rotations, orthogonal planes, and vector transformations under rotation.