Rotation in 3D Space

Related lectures (31)

Covers the rotation between Cartesian frames and their properties in SO(3) and Euler parameterization.

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

Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.

Covers the concept of moment of inertia for solid rotation and its independence from movement and reference frame choice.

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

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Discusses isometries and orthonormal bases in mathematics.

Explores known symmetries in physics, such as space translations and rotations, explained by Tobias Schneider.

Explains angular momentum for rotating solids and discusses symmetry in mass distribution.

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Explores energy, collisions, variable mass systems, and dynamics of solid bodies.

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