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 tool runs entirely in your browser. Your files are never uploaded to a server.
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.