Vector Magnitude Calculator
Calculate the nonnegative length of a 2D or 3D vector, including the zero vector.
Formula
|v| = √(x²+y²+z²)
Magnitude ≈ (4)×sqrt(((3)÷(4))^2+((4)÷(4))^2+((0)÷(4))^2)
How to use
- Enter x and y components.
- Enter z, or use 0 for 2D.
- Read the magnitude in your input unit.
Examples
- (1,2,2) has magnitude √9 = 3.
Frequently asked questions
Can magnitude be negative?
No. It is a length and is always nonnegative.
What if all components are zero?
The magnitude is zero.
Must components have the same unit?
Yes. Use one unit and an orthonormal Cartesian coordinate system.
Sources
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