About the Cross Product Calculator
The cross product of two 3D vectors is a new vector perpendicular to both, with length equal to the area of the parallelogram they span. It gives normals to planes, torque (τ = r × F), angular momentum and the magnetic force on a moving charge. The dot product, by contrast, is a number that measures how much two vectors point the same way.
Enter two vectors. The calculator works out each component of a × b, the dot product, both magnitudes, the angle between them, the unit normal and the areas of the parallelogram and triangle — and with a third vector, the scalar triple product (the volume of the parallelepiped).