3D Rotations and Quaternions

Related lectures (32)

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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.