Rotations, a fundamental concept in mathematics and physics, play a pivotal role in transforming objects, vectors, or coordinate systems around a fixed point or axis. Essential in various fields including geometry, computer graphics, robotics, and engineering, rotations provide a framework to understand spatial transformations. Whether it's a simple rotation of a 2D shape or complex rotations in 3D space, mastering this concept enables precise manipulation and analysis of spatial data. This introduction delves into the significance and applications of rotations, elucidating their importance in modeling real-world phenomena and facilitating problem-solving across diverse disciplines.