Enter two vectors to calculate their cross product.
How to Use the Cross Product Calculator
Enter the x, y, and z components of both vectors. The resulting cross product vector comes out below.
A × B = (Ay·Bz − Az·By, Az·Bx − Ax·Bz, Ax·By − Ay·Bx)Unlike the dot product, which collapses two vectors into a single number, the cross product produces a whole new vector — one perpendicular to both original vectors, with a length equal to the area of the parallelogram they span. That's genuinely a 3D operation: there's no meaningful cross product of two-dimensional vectors, which is why every input here has a z-component even when working a flat problem (just leave it at zero).