Lectures related to Studying Mechanics: Vector Calculus

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Covers the decomposition of vectors into scalar and vector products.

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

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

Introduces scalar product, parallelism of vectors, and rate of change of a product.