Lectures related to Vector Geometry: Basic Notions

Advanced Physics I: Definitions and Motion

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Scalar Products in 2D and 3D Geometry

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

Vector Calculus in 3D

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

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Signal Approximation and Orthogonal Bases

Explores signal approximation, orthogonal bases, Fourier series, correlation, and vector geometry.

Vector Components and Operations

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

Dynamics: Scalar Product and Rate of Change

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

Physics 1: Vectors and Dot Product

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

Decomposition of a Vector

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Scalar Product: Geometric Properties

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Vector Geometry: Basics and Applications

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

Vector Calculus: Scalars and Vectors

Introduces scalars and vectors, explaining their properties and mathematical operations.

Scalar Product: Angle Calculations

Covers the calculation of angles using the scalar product in a 3D space.

Linear Applications and Eigenvectors

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Vector Algebra: Scalar Product

Explores the scalar product of vectors, including properties and calculation methods.

Matrices and Orthogonal Transformations

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Orthogonality and Least Squares Method

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

Vector Spaces and Scalar Products

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Rectilinear Movement: Vectors and Scalars

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