basic

Cross Product Calculator

Cross product of two 3D vectors.

Compute the cross product (vector product) of two 3-dimensional vectors, plus its magnitude — useful for torque, angular momentum, and finding a vector perpendicular to two others.

Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

(a × b)_x = a_y·b_z − a_z·b_y. (a × b)_y = a_z·b_x − a_x·b_z. (a × b)_z = a_x·b_y − a_y·b_x.

In depth

Compute the cross product (vector product) of two 3-dimensional vectors, plus its magnitude — useful for torque, angular momentum, and finding a vector perpendicular to two others.