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Vector Magnitude Calculator

Math
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Calculates the length (magnitude) of a vector.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter X component, Y component, and Z component (optional) in the units shown.

Step 2

Read Magnitude (3D) and Magnitude (2D) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

2D example 1

X component: 3; Y component: 4; Z component (optional): 0

Magnitude (3D): 5; Magnitude (2D): 5

2D example 2

X component: 5; Y component: 12; Z component (optional): 0

Magnitude (3D): 13; Magnitude (2D): 13

3D example 1

X component: 1; Y component: 2; Z component (optional): 2

Magnitude (3D): 3; Magnitude (2D): 2.236067977

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