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