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Vector Cross Product Calculator
Use this vector cross product calculator to calculate the
cross product of two vectors in 3D or 2D.
The calculator returns the vector components of A × B and
illustrates the direction using the right-hand rule.
Cross Product of Two Vectors
Enter the components of vectors A and B. For 2D vectors, set both z-components to 0.
Vector Inputs
Use “.” as the decimal separator.
Cross Product Result
A × B = (AyBz − AzBy , AzBx − AxBz , AxBy − AyBx)
Cx = —
Cy = —
Cz = —
Meaning of the result
Enter two vectors to calculate their cross product.
How to Calculate a Cross Product
- Write the components of vectors A and B.
- Compute AyBz − AzBy.
- Compute AzBx − AxBz.
- Compute AxBy − AyBx.
- The resulting vector is the cross product.
FAQ
What is the cross product formula?
A × B = (AyBz − AzBy, AzBx − AxBz, AxBy − AyBx).
What does the cross product represent?
The cross product produces a vector perpendicular to both vectors. Its magnitude equals the area of the parallelogram formed by the two vectors.
Can the cross product be calculated for 2D vectors?
Yes. Set the z-components equal to zero.
Is the cross product commutative?
No. In general, A × B = −(B × A).