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Related lectures (30)
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Analytical Geometry: Cross Product and Orientation
Explains the cross product in analytical geometry and vector orientation.
Vector Spaces and Scalar Products
Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.
Dot Product: Definition and Geometric Interpretation
Explains the dot product of vectors and its geometric interpretation as signed volume.
Derivatives and Differential Equations
Covers trigonometric functions, derivatives, differential equations, and vector properties.
Linear Applications and Eigenvectors
Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.
Decomposition of a Vector
Covers the decomposition of a vector in a base and its applications in speed and distance calculations.
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Scalar Product
Explains the concept of scalar product, its properties, and geometric interpretation.
Vectorial Products: Properties and Calculations
Covers properties and calculations of vectorial products, including orientation rules and determinant-based calculations.
Summary using nabla symbol
Covers the concept of nabla symbol, vector scalar, divergence, and cross product in 3D.