Dot Product Calculator
Compute the dot (scalar) product of two vectors of any equal dimension, plus each vector's magnitude and the angle between them.
Inputs explained
- Vector A (comma-separated components) — The components of the first vector, e.g. 1, 2, 3.
- Vector B (comma-separated components) — The components of the second vector — must have the same number of components as A.
How to use it
- Fill in the fields above — each input has a hint describing exactly what to enter
- Press Calculate to get your result instantly, right on this page
- Copy the result, save the tool to favorites, or share and embed it anywhere
Understanding the result
Example: (1, 2, 3) · (4, 5, 6) = 4 + 10 + 18 = 32.
Frequently asked questions
What does it mean if the dot product comes out to zero? A dot product of zero means the two vectors are perpendicular (orthogonal) to each other, regardless of their individual magnitudes.
Do the two vectors need to have the same number of components? Yes, the dot product is only defined for vectors of equal dimension, so a 3-component and a 2-component vector can't be combined.
Is the Dot Product Calculator free to use? Yes — it is completely free, with no sign-up, no download and no usage limits. You can use it as often as you need.
Is my data private? Yes. The calculation runs entirely in your browser — the values you enter are never sent to our servers, stored or shared with anyone.
What information do I need? Just the following: Vector A (comma-separated components), Vector B (comma-separated components). Each field includes a hint explaining exactly what to enter.
Can I use it on my phone? Yes — the tool is fully responsive and works on any device, and the same calculator is available in the EasyWorkCalcs mobile app.
Privacy
Everything you enter into the Dot Product Calculator is processed entirely in your browser. Nothing is uploaded, stored or shared — your data stays on your device.