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Lecture
Coordinate Systems and Vectors
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Related lectures (39)
Special Relativity
Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.
Indicial Notation and Vectors
Explores indicial notation, vectors, and the transformation law in the context of mass flux density.
Vectors: Coordinate Calculations
Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Mathematical Basics: Vectors
Covers the fundamental concepts of vectors, including their characteristics and calculation methods.
Tensor Analysis: Coordinate Systems
Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.
Vector Product: Antisymmetric Coordinates
MOOC: Warm-up for EPFL
Covers the vector product and its geometric interpretation in a Cartesian coordinate system.
General Physics: Mechanics
Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.
Vector Calculus: 3D Orientation and Cross Product
Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.
Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Analytical Study of Plan: Points, Lines
Covers the analytical study of the plan, focusing on points and lines.
Relative Positions: Examples
Covers examples of relative positions in a 2D space, focusing on equations involving x and y coordinates.
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.
Parts and Vectors in Coordinates
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Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Differential Geometry of Surfaces
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Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Physics 1: Vectors and Dot Product
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Covers the properties of vectors, including commutativity, distributivity, and linearity.
Advanced Physics I: Definitions and Motion
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Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.
Vector Geometry: Basics and Applications
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Explores vector geometry basics, historical perspectives, and practical applications.
Analytical Study of Space
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Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Linear Independence and Bases
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Covers linear independence, bases, and coordinate systems with examples and theorems.
Rectilinear Movement: Vectors and Scalars
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Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.
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