A unit vector is a vector with a magnitude of 1. The unit vector is defined by where is a non-zero vector. are commonly used as the unit vectors forming a basis in the directions respectively. They are often used as notation for vectors or in vector functions: Another common set of unit vectors forming a basis is in the Frenet–Serret formulas, where represent the tangent, normal, and binormal vectors respectively. File:Linear subspaces with shading.svg This linear algebra-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.