Unit Vector Calculator
Calculate unit vectors in 2D or 3D space.
Select Dimension
Vector Visualization
How it works
A unit vector is a vector with a magnitude of 1. To find the unit vector of a given vector:
- Calculate the magnitude of the original vector
- Divide each component by the magnitude
For a vector v = (x, y, z), the unit vector û is:
û = v/|v| = (x/|v|, y/|v|, z/|v|)
Where |v| = √(x² + y² + z²) is the magnitude of the vector.