Lectures related to Derivative of a Product of Functions

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Covers the decomposition of vectors into scalar and vector products.

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

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

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

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

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

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.