Vector Geometry: Basic Notions

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Vector Geometry: Basics and Applications

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

Vector Calculus: Scalars and Vectors

Introduces scalars and vectors, explaining their properties and mathematical operations.

Scalar Product: Angle Calculations

Covers the calculation of angles using the scalar product in a 3D space.

Linear Applications and Eigenvectors

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

Vector Algebra: Scalar Product

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

Matrices and Orthogonal Transformations

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Orthogonality and Least Squares Method

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

Vector Spaces and Scalar Products

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Rectilinear Movement: Vectors and Scalars

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