Enter the 3 coordinate points of a vector into the vector length calculator. The calculator will return the total vector magnitude (length).

Vector Length Formula

The following formula is used to calculate a vector length.

|u| = √(x₁² + y₁² + z₁²)
  • Where u is the vector length
  • x is the x coordinate
  • y is the y coordinate
  • z is the z coordinate

Vector Length Definition

A vector length is equivalent to a vector magnitude and is equal to the square root of the sum of the squares of each vector unit.

How to calculate a vector length?

How to calculate a vector length

  1. First, determine the vector coordinate points

    This will be x, y, and possibly z if the vector is in the 3-D plane.

  2. Calculate the magnitude

    Calculate the vector length using the formula above.


What is vector length?

A vector length is another way of saying a vector magnitude. It’s a measure of distant from the origin 0,0,0 to the coordinate points of the vector.

vector length calculator
vector length formula