Calculator
What the Cross Product Calculator does
Cross Product Calculator: calculates A × B from Aₓ, Aᵧ and A_z. Example: Aₓ 1, Aᵧ 2 and a_z 3 gives a × b -3, 6, -3.
Feed it Aₓ, Aᵧ, A_z and Bₓ; it hands back A × B. Change any input and the output follows immediately.
Seeing the intermediate steps is usually more useful than the final number alone. That is usually what brings anyone verifying a hand calculation here.
The work is done by JavaScript already loaded in your browser, so your input never crosses the network.
Below the tool you will find the field reference, the method, and an example computed from the values it opens with.
What do the Cross Product Calculator fields mean?
The Cross Product Calculator uses 6 inputs. Because the form arrives filled, the first useful result costs you zero typing.
| Field | What to enter | Default |
|---|---|---|
| Aₓ | required | 1 |
| Aᵧ | required | 2 |
| A_z | required | 3 |
| Bₓ | required | 4 |
| Bᵧ | required | 5 |
| B_z | required | 6 |
How does the Cross Product Calculator work?
Each output is derived from the inputs above in a single pass; there is no hidden state carried between runs, so the same inputs always give the same calculation.
If something is off you are told which field, not given a generic failure.
Worked example
These are the values the Cross Product Calculator loads by default, and the result it produces from them. Open the tool above and you will find precisely these figures already in place.
| Aₓ | 1 |
|---|---|
| Aᵧ | 2 |
| A_z | 3 |
| Bₓ | 4 |
| Bᵧ | 5 |
| B_z | 6 |
| A × B | -3, 6, -3 |
|---|---|
| What this means | A×B = (-3, 6, -3) |
How to use it
- Type Aₓ.
- Enter Aᵧ.
- Set A_z.
- Put Bₓ.
- Key in Bᵧ.
- Fill in B_z.
- The results panel stays in sync with the form as you edit it.
- Look at A × B and What this means in the output panel.
- Use Copy Link if you want the same setup again later, or Print for a paper copy.
What this tool does not do
- Very large or very small values reach the limits of floating-point precision, about 15 significant digits.
- Displayed values are rounded; the underlying calculation keeps full precision.
- Batch work is not supported; each run handles one set of values.
Frequently asked questions
Aₓ, Aᵧ, A_z, Bₓ, Bᵧ and B_z, nothing else. Each field is pre-filled with a sensible default, so you can change one value at a time and watch how the result responds.
With the values loaded when the page opens, a × b comes out as -3, 6, -3. Nudge one field at a time to see which one the answer is most sensitive to.
No. The work runs in JavaScript inside this page, so your values never leave your device. You can confirm it in your browser network tab.
Free for any use, personal or commercial.
The formula is shown above precisely so you do not have to take the accuracy on trust.