Vector magnitude · 3D

Calculate vector magnitude · 3d and see the working behind your result.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
|v| = √(x²+y²+z²)

Variables & units

x component
Numeric value · minimum -1000000, maximum 1000000
y component
Numeric value · minimum -1000000, maximum 1000000
z component
Numeric value · minimum -1000000, maximum 1000000

Worked example

The magnitude of (2,3,6) is 7.

Assumptions

The magnitude is always non-negative.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

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