Analytical Study of Space

Related lectures (29)

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Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

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

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Covers the analytical study of the plan, focusing on points and lines.

Covers the analytical study of space, focusing on points, lines, and planes.

Explores linear dependence and independence of vectors in geometric spaces.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

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