Lectures related to Vector Calculus: Derivatives and Products

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

Introduces scalar product, parallelism of vectors, and rate of change of a product.

Covers the decomposition of vectors into scalar and vector products.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

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

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.