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

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]]

See also #

dot, multiply

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