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.

## FAQ

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.