Unit Vector Calculator - Multi-Tools

Unit Vector Calculator

Calculate unit vectors in 2D or 3D space.

Select Dimension
Vector Components
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:

  1. Calculate the magnitude of the original vector
  2. 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.

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