A unit vector is a vector with a magnitude of 1. The unit vector \mathbf{\hat{v}} is defined by


where \mathbf{v} is a non-zero vector.

\mathbf{\hat{i}},\mathbf{\hat{j}},\mathbf{\hat{k}} are commonly used as the unit vectors forming a basis in the x,y,z 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 \mathbf{\hat{T}},\mathbf{\hat{N}},\mathbf{\hat{B}} represent the tangent, normal, and binormal vectors respectively.

Ad blocker interference detected!

Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.