Cross Command

Cross[ <Vector u> , <Vector v> ]

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

Example:

Cross[(1, 3, 2), (0, 3, -2)] yields (-12, 2, 3), Cross[{1, 3, 2}, {0, 3, -2}] yields {-12, 2, 3}

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

Example: Cross[(1,2),(4,5)] yields -3.

Hint: If a vector in the 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).

Notes:

• You can also use the operator u ⊗ v
• See also Dot Command.