Scalar Products in 2D and 3D Geometry

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Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.

Explores vector geometry basics, historical perspectives, and practical applications.

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.

Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores the scalar product of vectors, including properties and calculation methods.

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

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Introduces scalar product, parallelism of vectors, and rate of change of a product.