Lectures related to Scalar Product and Vectors

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

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

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