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Related lectures (31)
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Vectors: Coordinate Calculations
Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Studying Mechanics: Vector Calculus
Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.
Orthogonality and Gram-Schmidt Process
Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.
Orthogonal Vectors and Projections
Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.
Vector Spaces and Scalar Products
Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.
Vector Calculus: Derivatives and Products
Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.
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.
Orthogonality and Scalar Product
Explores orthogonality, scalar product, and orthonormal bases in vector spaces.
Metric Tensor: Definition
Explores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.
Vector Calculus in 3D
Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
