Vector Magnitude Table: Magnitude by x component
Reference table of magnitude for Vector Magnitude across a range of x component values — exact, engine-computed figures you can read off at a glance.
Vector Magnitude Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Magnitude
5.000000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Vector Magnitude Calculator
The Vector Magnitude Calculator works out your magnitude in an instant. Enter x component, y component and z component (0 for 2d) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the x component.
- Enter the y component.
- Enter the z component (0 for 2d).
- Read off your magnitude — the calculator updates automatically, with no button to press.
Formula
The Vector Magnitude Calculator uses the formula:
Magnitude = √(x component ^ 2 + y component ^ 2 + z component (0 for 2D) ^ 2)
Worked example
For example, with x component of 3, y component of 4 and z component (0 for 2d) of 0, the magnitude is 5.000000.
| x component | 3 |
|---|---|
| y component | 4 |
| z component (0 for 2D) | 0 |
| Magnitude | 5.000000 |
|---|
Results are estimates for educational use, not professional advice.
Frequently asked questions
Take the square root of the sum of the squared components. For (3,4) the magnitude is 5.
Yes. Enter the z component too; for a 2D vector simply leave z as zero.
It is the length of the vector, the straight-line distance from the origin to its tip.
Magnitude extends the Pythagorean theorem to vectors, treating each component as a perpendicular side.
The Vector Magnitude Calculator uses the formula: Magnitude = √(x component ^ 2 + y component ^ 2 + z component (0 for 2D) ^ 2). For example, with x component of 3, y component of 4 and z component (0 for 2d) of 0, the magnitude is 5.000000.
Enter the x component. Enter the y component. Enter the z component (0 for 2d). Read off your magnitude — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Vector Magnitude: Formula, Steps & Examples
Learn how to calculate Vector Magnitude — the formula explained step by step, with worked examples and a free calculator to check your answer.