Lecture

Equations in Space: Cartesian Equations of Planes

Related lectures (28)

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

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

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

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Covers examples of relative positions in a 2D space, focusing on equations involving x and y coordinates.

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 translations, homotheties, and geometric transformations using vectors and matrices.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

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

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

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

Introduces vectors in a solid reference frame and explains the importance of determinants in interpreting vector products and coordinate changes.

Covers Cartesian equations of lines in the plane with direction vectors multiples of (-2).

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

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

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

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

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

Covers the identification of a solid in space using 6 coordinates and the concept of undeformable solid bodies.