Vector Calculator
Enter two vectors to compute their dot product, magnitude, and other common vector operations used in physics and geometry. Runs entirely in your browser.
This works right here on your device — nothing gets sent out.
Example
Vector Calculator
- Vector A
- (3, 4, 0)
- Vector B
- (1, 2, 2)
Example shown — replace it with your own vectors.
Result
How it works
- Enter the components of vector A and vector B.
- The tool computes the dot product and each vector's magnitude.
- Read off the results instantly, ready to copy.
The formula
Dot product and magnitude for a 3D vector:
A · B = AxBx + AyBy + AzBz, |A| = √(Ax² + Ay² + Az²)
Example: (3,4,0) · (1,2,2) = 3 + 8 + 0 = 11.
FAQ
What operations does this support?
Dot product, cross product (for 3D vectors), magnitude, and vector addition/subtraction — the common operations used in physics and geometry problems.
Does it work with 2D vectors too?
Yes — just leave the z-component at zero and every operation still works correctly, since 2D vectors are a special case of 3D ones.
What does the dot product tell you?
The dot product relates to the angle between two vectors — a result of zero means the vectors are perpendicular.
How we compare
| Feature | Online Tool Store | Graphing calculator | Manual computation |
|---|---|---|---|
| No device needed | Yes | No | Yes |
| Instant, in-browser result | Yes | Manual entry | Slow |
| Free to use | Yes | Varies | Yes |
For a quick vector operation while studying or checking homework, this beats reaching for a graphing calculator.