Cross Product Calculator
Use the Cross Product Calculator for a transparent, instant calculation with validated inputs and cited sources. For a query such as “across products”, enter the matching values and units below and review the stated assumptions.
How to use this calculator
Enter the requested values and units.
Review the assumptions and any warnings shown with the result.
Use the result together with the cited source and your real-world requirements.
Formula
For vectors a and b, compute a × b = (a₂b₃ − a₃b₂, a₃b₁ − a₁b₃, a₁b₂ − a₂b₁).
Worked example
Worked example: Inputs: A x: 1; A y: 2; A z: 3; B x: 4; B y: 5; B z: 6. Outputs: Cross product x: -3; Cross product y: 6; Cross product z: -3.
Assumptions and limits
- The result depends on the values, units, and assumptions entered. It does not infer missing context.
Sources
- OpenStax, Rice University: Precalculus 2eReference material reviewed for the stated method, units, or domain. Confirm that its scope matches your use case. Reviewed 2026-08-14.
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Frequently asked questions
How does the Cross Product Calculator work?
For vectors a and b, compute a × b = (a₂b₃ − a₃b₂, a₃b₁ − a₁b₃, a₁b₂ − a₂b₁).
What should I enter?
A x, A y, A z, B x, B y, B z
What should I verify?
Review the assumptions and any warnings shown with the result. The result depends on the values, units, and assumptions entered. It does not infer missing context.
Last updated 2026-08-14 · math-cross-product-v1 · opportunity-content-2026-08-14 · Trusty Calculator Editorial Team