Vector Magnitude Calculator

Find the magnitude (length) of a vector.

⏱ Updated: 19 Sep 2026

Calculator

Free vector magnitude calculator: find the length of a vector.

Vector A
Magnitude |A|

Enter a vector to calculate its magnitude.

How to Use the Vector Magnitude Calculator

Enter the x, y, and z components of a vector. Its magnitude comes out below.

|A| = √(Ax² + Ay² + Az²)

Magnitude is just the distance formula applied to a single point measured from the origin — the same Pythagorean idea behind the Distance Between Two Points Calculator, extended one dimension further to include z. It's always a non-negative number, since it comes from a sum of squares under a square root, no matter how negative the individual components are.