Vector Product: Definition and Properties

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Page 2 of 4

Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.

Vector Product: Examples

Presents examples of the vector product in a space with an orthonormal reference frame.

Physics 1: Vectors and Dot Product

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

Mathematical Basics: Vectors

Covers the fundamental concepts of vectors, including their characteristics and calculation methods.

Orthogonality and Gram-Schmidt Process

Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.

Vector Components and Operations

Covers vector components, projections, conventions, operations, and mathematical identities.

Linear Applications and Eigenvectors

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

Vector Decomposition: Scalar and Vector Products

Covers the decomposition of vectors into scalar and vector products.

Vector Calculus: Derivatives and Products

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

Vector Geometry: Basics and Applications

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