Vectors: Fundamentals

Related lectures (24)

Page 2 of 3

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

Explores properties and interpretations of vectors in space, including mixed product and linear dependence.

Introduces linear combinations of vectors in R^n and their properties.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

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

Explores vector spaces, linear independence, and spanning sets in linear algebra.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.