Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Decomposition of a VectorCovers the decomposition of a vector in a base and its applications in speed and distance calculations.
Isometries in Euclidean SpacesExplores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Vectors: FundamentalsCovers the basic concepts related to vectors, including their definition, operations, and properties, as well as applications through examples and the Varignon's theorem.
Orthogonal Linear MapsCovers orthogonal linear maps, orthogonal matrices, invertibility, and least squares solutions in Euclidean spaces.
Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.