Vector Cross Product
Free Vector Cross Product calculator with clear step-by-step results.
About Vector Cross Product
The cross product of two 3D vectors is perpendicular to both.
Formula
Formula
A×B = (ay·bz − az·by, az·bx − ax·bz, ax·by − ay·bx)
Worked example
With the default values below, Vector Cross Product returns Cross x of -3.000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Vector A x
- 1
- Vector A y
- 2
- Vector A z
- 3
- Vector B x
- 4
- Vector B y
- 5
- Vector B z
- 6
Results
- Cross x
- -3.000
- Cross y
- 6.000
- Cross z
- -3.000
Step by step
- 1Values used
- 2Formula
- 3Cross x= -3.000
- 4Cross y= 6.000
- 5Cross z= -3.000
Assumptions and limits
- The result is derived only from the 6 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
The cross product of two 3D vectors is perpendicular to both.
Why does this matter?
Order matters: A×B = −(B×A).