CALCULATOR
3D Cross Product Magnitude Calculator
cross product. Example: AX: 2 units, AY: 2 units, AZ: 2 units, BX: 2 units, BY: 2 units, BZ: 2 units gives 0 units². Scalar magnitude only of cross product of two 3D Cartesian vectors. No vector coordinate output or direction promised. Components bounded ±1000 to keep all squared intermediates safe. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplie
Scalar magnitude only of cross product of two 3D Cartesian vectors. No vector coordinate output or direction promised. Components bounded ±1000 to keep all squared intermediates safe. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Magnitude of three componentwise determinant coordinates.
Accepted inputs: AX: -1,000 to 1,000 units; AY: -1,000 to 1,000 units; AZ: -1,000 to 1,000 units; BX: -1,000 to 1,000 units; BY: -1,000 to 1,000 units; BZ: -1,000 to 1,000 units.
How the calculation works
magnitude = √((aybz−azby)²+(azbx−axbz)²+(axby−aybx)²)
Worked example
With ax 2 units, ay 2 units, az 2 units, bx 2 units, by 2 units, bz 2 units, cross product is 0 units².
Assumptions and limits
Scalar magnitude only of cross product of two 3D Cartesian vectors. No vector coordinate output or direction promised. Components bounded ±1000 to keep all squared intermediates safe. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Magnitude of three componentwise determinant coordinates.