Lectures related to Product of 4 Plane Reflections: Normalization

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

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

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

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

Covers the concept of 2D rotations and their analytical expressions.

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

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