Analytical Geometry: Oriented Angles

This lecture covers the concept of oriented angles in analytical geometry, focusing on the relationship between unit vectors and angles. The instructor explains how to determine the orientation of angles using direct references and unit vectors, providing examples and proofs along the way. The lecture progresses through various slides illustrating the calculations and properties of oriented angles, leading to a proposition about the oriented angle between two vectors. The content delves into trigonometric functions, matrix representations, and rotations centered at different points. The lecture concludes with a detailed explanation of the matrix representation of rotations in a given base.