Function cross #
Calculate the cross product for two vectors in three dimensional space.
The cross product of A = [a1, a2, a3]
and B = [b1, b2, b3]
is defined
as:
cross(A, B) = [ a2 * b3 - a3 * b2, a3 * b1 - a1 * b3, a1 * b2 - a2 * b1 ]
If one of the input vectors has a dimension greater than 1, the output vector will be a 1x3 (2-dimensional) matrix.
Syntax #
math.cross(x, y)
Parameters #
Parameter | Type | Description |
---|---|---|
x |
Array | Matrix | First vector |
y |
Array | Matrix | Second vector |
Returns #
Type | Description |
---|---|
Array | Matrix | Returns the cross product of x and y |
Throws #
Type | Description —- | ———–
Examples #
math.cross([1, 1, 0], [0, 1, 1]) // Returns [1, -1, 1]
math.cross([3, -3, 1], [4, 9, 2]) // Returns [-15, -2, 39]
math.cross([2, 3, 4], [5, 6, 7]) // Returns [-3, 6, -3]
math.cross([[1, 2, 3]], [[4], [5], [6]]) // Returns [[-3, 6, -3]]