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Related lectures (27)
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Orthogonal Projection: Vector Decomposition
Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.
Vector Calculus in 3D
Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Orthogonal Complement and Projection
Covers the concept of orthogonal complement and projection in vector spaces.
Scalar Product: Geometric Properties
Covers the definition and geometric properties of scalar product between vectors.
Orthogonal Projection Theorem
Explores orthogonal projection calculation and orthonormal bases uniqueness through matrix operations.
Matrix Operations: Determinants and Vector Spaces
Covers strategies for matrix operations and the concept of vector spaces.
Orthogonal Projection: Example and Additional Remarks
Explains orthogonal projection onto a subspace and finding orthogonal bases using Gram-Schmidt procedure.