Analytical Study of Space

Related lectures (29)

Page 3 of 3

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

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

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

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

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Explores the normalization of the product of 4 plane reflections in space.