# 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 ```js 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` ## Examples ```js 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]] ``` ## See also [dot](dot.md), [multiply](multiply.md)