Lectures related to 3D Rotations and Quaternions

Covers angular momentum in rotations, including preservation of angles and vector products.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

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

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Covers the concept of orientation in the plane and transformations using matrices.

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

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Covers the preservation of isometry by rotations and symmetries.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

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

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores rotation in analytical geometry, including center coordinates and fixed points.

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Explores Rabi oscillations in quantum information, focusing on spin dynamics and Hamiltonian evolution.

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

Explores acceleration derivation, vector rotation, and coordinate systems in rotational motion.