Orientation in mathematics refers to the concept of establishing reference directions or frameworks for various geometric entities. It involves defining coordinate systems, such as the rectangular and polar coordinate systems, which provide a way to locate and describe points and other entities in space. Orientation also includes geometric transformations, like rotations, reflections, and translations, which can manipulate and preserve the orientation of shapes. Additionally, vector algebra introduces vector products and scalar products, which further define orientations and relationships between vectors. These concepts provide a foundation for analyzing and understanding spatial relationships, shapes, and their transformations.