Coordinate Space: Representation and Operations

Related lectures (29)

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Covers the fundamentals of analytical geometry, focusing on vectors and their operations.

Explores the algebraic properties of the scalar product and their geometric implications.

Introduces vector definitions, displacement, addition, and applications in geometry.

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

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

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

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

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.