Coordinate Systems and Vectors

Related lectures (26)

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Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Covers the fundamental concepts of vectors, including their characteristics and calculation methods.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

Covers the vector product and its geometric interpretation in a Cartesian coordinate system.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.