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Vector Magnitude Calculator - Length & Unit Vector

Free vector magnitude calculator. Calculate vector length, unit vector, and direction for 2D and 3D vectors.

Calculate vector length and direction

Enter your values to see results

and click the "Calculate" button

Vector Magnitude Calculator

Calculate the magnitude (length) of a vector and its unit vector. Essential for physics, engineering, and computer graphics.

||v|| = √(x² + y² + z²)

For 2D: √(x² + y²). Unit vector: v/||v||. Example: (3,4) has magnitude 5, unit vector (0.6, 0.8).

What is a unit vector?

A vector with magnitude 1 pointing in the same direction. Divide vector by its magnitude. Used for direction without length information.

When do I use vector magnitude?

Physics (velocity, force), game development (distance, normalization), machine learning (feature scaling), 3D graphics.

Distance Calculator

Distance between points

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