How it works
A×B = (AyBz−AzBy, AzBx−AxBz, AxBy−AyBx). Direction follows the right-hand rule.
Input definitions
- A x
- Enter the value in the labeled unit.
- A y
- Enter the value in the labeled unit.
- A z
- Enter the value in the labeled unit.
- B x
- Enter the value in the labeled unit.
- B y
- Enter the value in the labeled unit.
- B z
- Enter the value in the labeled unit.
A worked example
- A x
- 1
- A y
- 0
- A z
- 0
- B x
- 0
- B y
- 1
- B z
- 0
0, 0, 1
Assumptions & limits
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.
Common questions
Does swapping the vectors change the result?
Yes. B×A is the negative of A×B. Parallel vectors have a zero cross product.
How does Three-dimensional cross product work?
A×B = (AyBz−AzBy, AzBx−AxBz, AxBy−AyBx). Direction follows the right-hand rule.
What should I check before using Three-dimensional cross product?
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.