Dot Product Calculator
Math
Find the scalar product of two three-dimensional vectors.
Formula
A · B = AxBx + AyBy + AzBz
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
Example Calculation
Example inputs
- A x: 1
- A y: 2
- A z: 3
- B x: 4
- B y: 5
- B z: 6
(1,2,3) · (4,5,6) = 32.
Frequently asked questions
How do I use this calculator?
Enter a x, a y, a z, b x, b y, b z. The result updates automatically. Use Reset to restore the example values.
What method does it use?
A · B = AxBx + AyBy + AzBz. Follow the units and definitions shown with the inputs to apply this relationship consistently.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.