Unit Vector Calculator

Unit Vector Calculator

Normalize a vector and calculate its unit vector.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Compute the vector magnitude.
Divide each component by the magnitude.
Write the normalized vector.
Unit vector
(0.6000, 0.8000)
Magnitude: 5.0000

What Is A Unit Vector?

A unit vector has length 1 and points in the same direction as the original vector.

How To Calculate A Unit Vector

  1. Compute the magnitude of the vector.
  2. Divide every component by the magnitude.
  3. Write the normalized vector.

Frequently Asked Questions

Can I use 3D vectors?

Yes. Any number of components is supported.

What about the zero vector?

The zero vector has no unit vector because its magnitude is 0.

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