Vector Magnitude Calculator

Summary

Enter 2D or 3D vector components to instantly calculate the magnitude (Euclidean length/norm).

How it works

1. Choose 2D or 3D mode using the toggle at the top.
2. Enter the X and Y components of your vector (and Z for 3D).
3. The magnitude is computed instantly as you type.
4. Review the step-by-step calculation breakdown below the result.
5. Click "Copy Result" to copy the magnitude value to your clipboard.
6. Use "Reset" to clear all inputs and start over.

Use cases

• Physics problems involving velocity, displacement, or force vectors.
• Computer graphics: computing the length of direction or normal vectors.
• Game development: normalizing vectors requires knowing the magnitude first.
• Engineering mechanics: finding resultant force magnitudes.
• Machine learning: computing L2 norms of feature vectors.
• Navigation and GPS: measuring straight-line distances in coordinate space.
• Mathematics coursework and homework verification.
• Robotics: checking the reach of a manipulator arm.

Frequently Asked Questions