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Lecture
Vector Calculus in 3D
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Related lectures (27)
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Orthogonality and Projection
Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
Orthogonal Vectors and Projections
Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.
Finding Orthogonal/Orthonormal Base: First Step
Introduces the first step in finding an orthogonal/orthonormal base in a vector space.
Linear Applications and Eigenvectors
Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Orthogonality and Scalar Product
Explores orthogonality, scalar product, and orthonormal bases in vector spaces.
Matrix Operations and Orthogonality
Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.
Analytical Study of Space
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Vector Spaces: Properties and Operations
Covers the properties and operations of vector spaces, including addition and scalar multiplication.
Orthogonal Families and Projections
Introduces orthogonal families, orthonormal bases, and projections in linear algebra.