Cross Product Calculator

Find the cross product of two 3D vectors — a vector perpendicular to both. Enter both as three components.

Cross Product
—
Perpendicular vector.

Usage Tip

If the cross product is the zero vector, the two vectors are parallel.

THE MATH
A × B = (a2·b3 − a3·b2, a3·b1 − a1·b3, a1·b2 − a2·b1)
Perpendicular to both inputs
The cross product of two 3D vectors is a third vector perpendicular to both, following the right-hand rule.
Its length equals the area of the parallelogram they form.
Defined only for three-dimensional vectors.
The result is perpendicular to both inputs.
Its magnitude is the area of the parallelogram spanned by the vectors.
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