Lectures related to Vectorial Geometry: Affine Subspaces

Analytical Geometry: Mixed Product and Determinant

Covers the analytical expression of the mixed product and its applications.

Vector Equations and Normal Equations

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Vector Spaces in R2 and R3

Covers vector spaces in R2 and R3, including planes and lines.

Mechanics: Introduction and Calculus

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

Linear Applications and Eigenvectors

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

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Analytical Geometry: Lines Study

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Analytical Geometry: Vector Equations of Lines

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Projectile Motion: Equations and Examples

Explains projectile motion equations and examples, covering vectorial equations, scalar and vector quantities, Newton's laws, and gravitational forces.

Analytical Study of Plan: Points, Lines

Covers the analytical study of the plan, focusing on points and lines.

Analytical Study of Space

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

Analytical Geometry: Circles and Tangents

Explores circles, tangents, right lines, planes, and vector products in analytical geometry.

Analytical Geometry: Cross Product and Orientation

Explains the cross product in analytical geometry and vector orientation.

Decomposition of a Vector

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

Scalar Products in 2D and 3D Geometry

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

Orthogonality and Projection

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

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.

Distance Between Two Lines

Covers the concept of finding the distance between two lines in a plane.

Vector Geometry: Basics and Applications

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