Vector Magnitude Calculator
Vector magnitude calculator
Find vector magnitude in 2D or 3D coordinate form.
Result
13
Uses |v| = sqrt(x^2 + y^2 + z^2).
Auto
math
Flow
- Choose 2D or 3D mode.
- Enter vector components.
- Read magnitude and reuse value in normalization or direction analysis.
Example
Worked example: v = (3, -4, 12)
- 1 Square each component: 9, 16, 144.
- 2 Sum squares: 169.
- 3 Take square root to get magnitude 13.
Vector magnitude is 13.
How
- Choose 2D or 3D mode.
- Enter vector components.
- Read magnitude and reuse value in normalization or direction analysis.
Avoid
- Adding raw components without squaring first.
- Using 2D formula when z component is non-zero.
Checks
Best fit
Vector Magnitude Calculator is built for find vector magnitude in 2d or 3d coordinate form. If Vector Magnitude Calculator does not match the input scope, compare the answer with a second method.
Input check
Match the entered values to this rule before copying the answer: |v| = sqrt(x^2 + y^2) or sqrt(x^2 + y^2 + z^2).
Sanity check
For Vector Magnitude Calculator, use the worked example as a quick benchmark: Vector magnitude is 13. If the vector magnitude calculator answer is far away, check whether an input, unit, or mode changed.
Before copying
Review this common issue first: adding raw components without squaring first.
FAQ
Is this Euclidean norm?
Yes, this tool uses standard L2 Euclidean norm.
Can components be negative?
Yes. Squaring removes sign in magnitude calculation.
Can I use decimals?
Yes. Decimal components are fully supported.
Switch
Switch12
No match.