Vector Cross Product Calculator (3D)
Enter the x, y and z components of two 3D vectors to calculate their cross product.
Vector Cross Product Calculator (3D)
Calculate the cross product of two 3D vectors, producing a new vector perpendicular to both.
This calculator provides an estimate for general informational purposes only. It is not a substitute for professional financial, mechanical or engineering advice.
The cross product of two 3D vectors produces a third vector perpendicular to both, computed component-by-component from the two input vectors.
Example
- With the default values shown above, this calculator returns: Cross Product - x ≈ -3.00; Cross Product - y ≈ 6.00; Cross Product - z ≈ -3.00.
Frequently Asked Questions
What is the formula?
For A × B: x = AyBz − AzBy, y = AzBx − AxBz, z = AxBy − AyBx.
What does the cross product represent?
The cross product is a new vector perpendicular to both input vectors, whose length equals the area of the parallelogram they form — used in physics for torque, angular momentum and surface normals.