Vector Operations: Planes and Lines

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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.