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Lecture
Vector Calculus: Scalars and Vectors
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Related lectures (56)
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Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
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Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Vector Components and Operations
Covers vector components, projections, conventions, operations, and mathematical identities.
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Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.
Coordinate Systems: Polar, Cylindrical, Spherical
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Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
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Untitled
Vector Transformation and Tense
Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.
Rotation of Solids: Kinematics and Dynamics
Covers the kinematics and dynamics of solids in rotation, focusing on velocity and acceleration in different points within a solid.
Projectile Motion: Frictional Effects
Discusses projectile motion with friction and systems with inclined planes and pulleys.
Mechanics: Introduction and Calculus
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Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Physics 1: Vectors and Dot Product
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Covers the properties of vectors, including commutativity, distributivity, and linearity.
Decomposition of a Vector
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Covers the decomposition of a vector in a base and its applications in speed and distance calculations.
Analytical Study of Space
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Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Orthogonal Vectors and Projections
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Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.
Orthogonality and Projection
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Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
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