Analytical Study of Plan: Points, Lines

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

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

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

Explores vector equations for lines in the plane and the concept of 'observation points'.

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Covers the basics of linear mapping and coordinate systems.

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

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

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

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