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Unit Vector Calculator
Normalise a 3D vector to find its unit vector and magnitude.
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Unit vector
Compare Your Options And Get Clear Answers
Normalise a 3D vector to find its unit vector and magnitude.
Unit Vector Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: Unit vector = v / |v|, |v| = sqrt(x^2 + y^2 + z^2).
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Unit Quick Guide
Typical values for reference.
| x | y | z | Magnitude |
|---|---|---|---|
| 3 | 4 | 0 | 5.0000 |
| 1 | 1 | 1 | 1.7321 |
| 3 | 4 | 12 | 13.0000 |
| 0 | 0 | 5 | 5.0000 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Unit Vector Calculator FAQ
Answers to common questions about this calculator.
A vector of length 1 that gives a direction.
Divide each component by the magnitude.
No, it has no direction.
Physics, graphics and navigation.