A unit vector is a vector that has a magnitude of exactly one. It is often used to indicate direction without considering the length of the vector. Unit vectors are typically represented with a hat notation, such as â or b̂, and can be derived from any non-zero vector by dividing the vector by its magnitude. Unit vectors are essential in various fields, including physics and engineering, as they help simplify calculations involving direction. For example, in 3D space, the unit vectors along the x, y, and z axes are represented as î, ĵ, and k̂, respectively, and are used to describe positions and movements.