Lectures related to Produit mixte

Covers the concept of nabla symbol, vector scalar, divergence, and cross product in 3D.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

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

Covers the concepts of dot and cross products of vectors and their applications.

Introduces scalars and vectors, explaining their properties and mathematical operations.

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.