By Zencalcy Editorial TeamLast reviewed About us
A vector's length (magnitude, norm): √(x² + y² (+ z²)) — Pythagoras again. Speed from velocity components, force from its parts.
Length of a 2D/3D vector via the Pythagorean formula.
|v| = √(x² + y² + z²)
| Symbol | Meaning |
|---|---|
| |v| | Magnitude (length, ≥ 0) |
|(3,4)| = 5. |(1,2,2)| = √(1+4+4) = 3.
Continue with the Percentage Calculator, all math calculators, or browse the full calculator directory.
Magnitude is the single length; components are the axis parts. This converts parts → length.
Click to use the Absolute Value Calculator and get instant results.
Click to use the Basic Calculator and get instant results.
Click to use the Scientific Calculator and get instant results.
Click to use the Exponent Calculator and get instant results.
Click to use the Square Root Calculator and get instant results.
Click to use the Cube Root Calculator and get instant results.
Content updated: September 2026