Analysis of the basic mathematical methods used for description of the motion of an object on a plane and in the space

The article provides a comparative analysis of key mathematical tools in linear algebra used for modeling the orientation and motion of objects. The study examines the specific applications of Euler angles, rotation matrices, and quaternions within the context of autonomous vehicle control. The advantages of each of these approaches are discussed. Some attention should be paid to the methodology of teaching the seconcepts to future IT specialists and aviation engineers using modern information technologies.