Scalar Product: Geometric Properties

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Covers the geometric properties of the dot product and its algebraic aspects.

Explores the algebraic properties of the scalar product and their geometric implications.

Covers translations, homotheties, and their geometric properties, including reversibility and composition.