Linear Algebra

Cross Product Calculator (3D)

Compute a × b for 3D vectors using the determinant formula. Shows the resulting vector, its magnitude (area of the parallelogram), and verifies perpendicularity.

Inputs (3D)
Vector a
Vector b

Parallelogram Visualization (xy-plane projection)

Step-by-Step Work

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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