Lectures related to Vector Operations: Planes and Lines

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

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

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.

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

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

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

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

Explores midpoint, equations, angles, and projections in analytical geometry.

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.

Explores relative positions of lines in space, discussing parallel, secant, and confused lines.

Explains the geometric definition of planes in space and how to determine their equations.

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

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Introduces vector definitions, displacement, addition, and applications in geometry.

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

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

Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.