Last updated: March 2, 2026 by Dr. David Park

How to Calculate the Cross Product

Formula

The cross product of two 3D vectors produces a vector perpendicular to both inputs.

Its magnitude equals the area of the parallelogram formed by the two vectors.

Common use cases:

  • Computing surface normals in 3D graphics
  • Torque calculations in physics
  • Finding area of parallelograms in space

Frequently Asked Questions

DD

Dr. David Park

Applied Mathematician, PhD Mathematics

David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.

Share & Embed

Was this calculator helpful?

Related Calculators