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

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Covers the analytical expression of the mixed product and its applications.

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.