Lecture

Vectors: Definitions and Operations

Related lectures (29)

Linear Algebra: Matrices and Linear Applications

Covers matrices, linear applications, vector spaces, and bijective functions.

Vector Spaces: Operations and Linear Transformations

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Linear Dependence of Vectors

Explores linear dependence of vectors, demonstrating examples and conditions for collinearity.

Analytical Geometry: Vectors and Operations

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.

Analytical Geometry: Vectors

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Translations and Homotheties

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Orthogonality and Least Squares Method

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

Parts and Vectors in Coordinates

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Vector Algebra: Scalar Product

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

Analytical Study of Space

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

Vector Equations and Normal Equations

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Vectors: Fundamentals

Covers the basic concepts related to vectors, including their definition, operations, and properties, as well as applications through examples and the Varignon's theorem.

Scalar Products in 2D and 3D Geometry

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

Orthogonal Projections: Rectors and Norms

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

Elementary Operations in Geometry

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Physics 1: Vectors and Dot Product

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

Advanced Physics I: Definitions and Motion

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Vector Operations and Geometry

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

Vector Spaces: Properties and Examples

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Vector Spaces in R2 and R3

Covers vector spaces in R2 and R3, including planes and lines.