Geometric Transformations in the Plane: Orientation

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Geometric Rotations in 2D

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

Coordinate Systems and Rotations

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

3D Rotations and Quaternions

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Isometries in Space: Orientation & Reflections

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Analytical Geometry: Oriented Angles

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

Angle and Functions

Delves into fundamental special functions like trigonometric, logarithmic, and exponential functions, emphasizing the concept of angles in various applications.

Physics Exercises and Rotations Interpretation

Covers physics exercises, rotations, and constraint forces in various physical scenarios.

Kinematics and Dynamics: Reference Frames, Vectors, and Accelerations

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

Coordinate Systems: Cylindrical, Spherical, Rotations

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

Curves in the Oriented Plane

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

Page 2 of 2