Lectures related to Vectors: Basic Concepts and Operations

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Covers vector components, projections, conventions, operations, and mathematical identities.

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Explores vector geometry basics, historical perspectives, and practical applications.

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.