basic

Vector Magnitude Calculator

Magnitude of a 3D vector.

Compute the magnitude (length) of a 3D vector and its unit vector from the three components.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

|v| = √(x² + y² + z²); unit vector = v / |v|.

In depth

Compute the magnitude (length) of a 3D vector and its unit vector from the three components.