Clifford algebra is a mathematical framework that extends traditional algebra to include geometric concepts. It combines scalars, vectors, and higher-dimensional entities, allowing for the representation of geometric transformations and rotations. Named after the mathematician William Kingdon Clifford, this algebra is particularly useful in physics and engineering, where it helps describe phenomena in quantum mechanics and relativity. In Clifford algebra, elements are combined using a product that incorporates both addition and multiplication. This product can represent various geometric operations, such as reflections and rotations, making it a powerful tool in differential geometry and computer graphics. Its versatility allows for the modeling of complex systems in a unified manner.