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Related lectures (30)
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Physics 1: Vectors and Dot Product
Covers the properties of vectors, including commutativity, distributivity, and linearity.
Orthogonal Bases, Orthonormal/Orthonormalized Bases
Introduces orthogonal and orthonormal families in vector spaces with scalar products.
Vector Calculus: Scalars and Vectors
Introduces scalars and vectors, explaining their properties and mathematical operations.
Scalar Product and Vectors
Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.
Vector Spaces and Scalar Products
Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Orthogonal Projection on Vector Subspace
Explains orthogonal projection on a vector subspace in Euclidean space.
Matrices and Orthogonal Transformations
Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.
Vector Geometry: Basics and Applications
Explores vector geometry basics, historical perspectives, and practical applications.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
