Vector Algebra: Scalar Product

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Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

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

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

Covers the geometry of the triangle, including inequalities, heights, and centers.

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

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

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