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Lecture
Scalar Product
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Related lectures (27)
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Scalar Product: Geometric Properties
Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.
Vector Geometry: Basics and Applications
Explores vector geometry basics, historical perspectives, and practical applications.
Vector Calculus: Derivatives and Products
Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.
Dynamics: Scalar Product and Rate of Change
Introduces scalar product, parallelism of vectors, and rate of change of a product.
Mathematical Basics: Vectors
Covers the fundamental concepts of vectors, including their characteristics and calculation methods.
Vector Components and Operations
Covers vector components, projections, conventions, operations, and mathematical identities.
Orthogonal/Orthonormal Bases and Polynomials
Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.
Linear Applications and Eigenvectors
Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.
Orthogonality and Projection
Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
Produit mixte
Covers the concept of the mixed product and related vector identities.