Vector Calculus: 3D Orientation and Cross Product

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

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

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

Covers the analytical study of the plan, focusing on points and lines.

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

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

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

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

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

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.