Geometric Algebra is a mathematical framework that extends traditional algebra to include geometric concepts. It combines elements of linear algebra and vector calculus, allowing for the representation of geometric transformations and relationships in a unified way. This approach uses multivectors, which can represent points, lines, and planes, making it easier to perform calculations involving rotations and reflections.
One of the key features of Geometric Algebra is the use of the Clifford algebra, which provides a systematic way to handle geometric entities. This algebraic structure simplifies complex operations, such as the dot and cross products, into a single operation called the geometric product. As a result, Geometric Algebra is increasingly used in fields like computer graphics, robotics, and physics.