Vector Algebra: Scalar Product

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Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Introduces vector definitions, displacement, addition, and applications in geometry.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

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

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

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

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers linear transformations, matrices, kernels, and properties of invertible matrices.