Analytical Geometry: Mixed Product and Determinant

Related lectures (30)

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Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers the concept of finding the distance between two lines in a plane.

Covers matrices, linear applications, vector spaces, and bijective functions.

Explains the geometric definition of planes in space and how to determine their equations.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

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

Explores relative positions of lines in space, discussing parallel, secant, and confused lines.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.