Cross Command

Cross( <Vector u> , <Vector v> )

Calculates the cross product of u and v. Instead of vectors you can also use lists.

  • Cross((1, 3, 2), (0, 3, -2)) yields (-12, 2, 3)

  • Cross({1, 1, 1}, {-1, -1, -1}) yields {0, 0, 0}

For 2D vectors or points the result is the z-coordinate of the actual cross product.

Cross((1,2),(4,5)) yields -3.

If a vector in the Menu view cas.svg CAS View contains undefined variables, the command yields a formula for the cross product, e.g. Cross((a, b, c), (d, e, f)) yields (b f - c e, -a f + c d, a e - b d).