Vector Calculus: Scalars and Vectors

Related lectures (32)

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Explores vector geometry basics, historical perspectives, and practical applications.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

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

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

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

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

Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.

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