Lectures related to Decomposition of a Vector

Covers vector components, projections, conventions, operations, and mathematical identities.

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

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Explores the scalar product of vectors, including properties and calculation methods.

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

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

Covers trigonometric functions, derivatives, differential equations, and vector properties.