Linear Algebra
Basic

Unit Vector

Vector of length one in the same direction.

Formula

v^=v∥v∥\hat{\mathbf{v}} = \frac{\mathbf{v}}{\|\mathbf{v}\|}

Variables

vVector

Example

Normalizes to length 1

Did You Know?

Normalising a vector to length 1 keeps only its direction, essential for representing orientations in physics and graphics.

vector