School Product: Geometric Properties

Related lectures (29)

Page 3 of 3

Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

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

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Covers orthogonal projection, spectral decomposition, Gram-Schmidt process, and matrix factorization.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.