Cross Product Calculator
Calculate the cross product of two 3D vectors.
Result: A × B
Step-by-Step
Properties
About the Cross Product
The cross product is defined only for 3D vectors and produces a vector perpendicular to both input vectors.
A × B = (AyBz - AzBy, AzBx - AxBz, AxBy - AyBx)
- Direction: Perpendicular to both input vectors (right-hand rule)
- Magnitude: |A × B| = |A| × |B| × sin(θ)
- Zero result: Vectors are parallel or one is zero
- Anti-commutative: A × B = -(B × A)