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Vector Magnitude Norm Calculator
Compute the Euclidean, Manhattan and maximum norm of a 3D vector.
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Euclidean norm
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Compute the Euclidean, Manhattan and maximum norm of a 3D vector.
Vector Magnitude Norm Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: |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
Vector Quick Guide
Typical values for reference.
| x | y | z | Norm |
|---|---|---|---|
| 3 | 4 | 0 | 5.0000 |
| 1 | 1 | 1 | 1.7321 |
| 3 | -4 | 12 | 13.0000 |
| 10 | 0 | 0 | 10.0000 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Vector Magnitude Norm Calculator FAQ
Answers to common questions about this calculator.
A measure of the length of a vector.
The square root of the sum of squared components.
The sum of absolute values.
Physics, machine learning and numerical analysis.