Lectures related to Analytical Study of Lines in the Plane

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

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

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

Introduces Cartesian equations of planes in space and their parametric representations.

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Covers examples of relative positions in a 2D space, focusing on equations involving x and y coordinates.

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

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

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores parametric equations and their dependence on the choice of observation benchmarks.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Covers the concept of coordinate systems, landmarks, and vectors in space.

Explores guiding vectors in analytical geometry, emphasizing the importance of non-collinear and non-coplanar vectors in defining coordinate systems.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

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

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.