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Cross Product Calculator

Result

0-3
16
2-3
↗ Math

Cross Product Calculator Calculate the cross product of two 3D vectors. — free online calculator.

Formula

Rule: A×B = (Ay·Bz − Az·By, Az·Bx − Ax·Bz, Ax·By − Ay·Bx).
  • Cross Product Calculator calculates its result from Ax, Ay, Az, Bx, By, Bz. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
  • The main inputs are Ax, Ay, Az, Bx, By, Bz. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Cross Product

Inputs
  • Ax: 1
  • Ay: 2
  • Az: 3
  • Bx: 4
  • By: 5
  • Bz: 6

Using Ax = 1, Ay = 2, Az = 3, Bx = 4, By = 5, Bz = 6, the calculated result is [-3, 6, -3].

Sample result: Calculating…

Frequently asked questions

What does the Cross Product calculate?

Cross Product Calculator Calculate the cross product of two 3D vectors. — free online calculator.

Which values should I enter?

Enter Ax, Ay, Az, Bx, By, Bz using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Rule: A×B = (Ay·Bz − Az·By, Az·Bx − Ax·Bz, Ax·By − Ay·Bx)..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026