Cross Command
From GeoGebra Manual
- 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.