Scalar Products in 2D and 3D Geometry

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Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

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

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

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

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

Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.

Explores reference frames, vectors, accelerations, and rotations in physics, including kinematics of a material point and uniform circular motion.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.