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.