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

How to calculate a vector length

**First, determine the vector coordinate points**This will be x, y, and possibly z if the vector is in the 3-D plane.

**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.

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