Lectures related to Understanding Normal Vectors in Calculus

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

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

Explores the length of continuously differentiable paths using integrals and parametrizations.

Covers the application of Green's Theorem in analyzing vector fields and calculating line integrals.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.