Lectures related to Analytical Geometry: Tangents and Circles

Covers the basics of vectors in 3 dimensions, including representation, unit vectors, and basis transformations.

Explains normal equations in linear algebra, focusing on vector products.

Covers the concept of the mixed product and related vector identities.

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Covers the representation of plane curves and the nature of obtained curves.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers the concepts of dot and cross products of vectors and their applications.

Covers the decomposition of vectors into scalar and vector products.

Presents examples of the vector product in a space with an orthonormal reference frame.