Vector algebra

Cross Product Calculator

Calculate A x B, its magnitude, and the area it represents.

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Formula

A x B = (AyBz - AzBy, AzBx - AxBz, AxBy - AyBx)

Result

Worked substitution


          

The cross product is perpendicular to both input vectors.

Read the result

The result is perpendicular to both input vectors. Its magnitude is the area of the parallelogram made by A and B.

Where it helps

Use it for area, normals, torque, and any 3D calculation where direction perpendicular to a plane matters.

Common slip

Order matters. A x B and B x A have the same magnitude but opposite directions.

Try it

Swap A and B after calculating. The signs of the cross product should reverse.