Lectures related to Vectors: Dot Product

Covers trigonometric functions, derivatives, differential equations, and vector properties.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.

Dynamics: Scalar Product and Rate of Change

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

Orthogonal Projections: Rectors and Norms

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

Orthogonality: Norm, Scalar Product, Perpendicularity

Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.

Vector Calculus in 3D

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Orthogonality and Gram-Schmidt Process

Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.