Vectorial Geometry: Affine Subspaces

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Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explores rotation in two dimensions, covering vector products, angular momentum, and kinetic energy of solids.

Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.

Explains normal equations in linear algebra, focusing on vector products.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores linear combinations, matrix-vector product, and matrix equation solutions.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.