cupy.cross#

cupy.cross(a, b, axisa=-1, axisb=-1, axisc=-1, axis=None)[source]#

Returns the cross product of two vectors.

The cross product of a and b in \(R^3\) is a vector perpendicular to both a and b. If a and b are arrays of vectors, the vectors are defined by the last axis of a and b by default, and these axes can have dimensions 2 or 3. Where the dimension of either a or b is 2, the third component of the input vector is assumed to be zero and the cross product calculated accordingly. In cases where both input vectors have dimension 2, the z-component of the cross product is returned.

Parameters:

a (cupy.ndarray) – Components of the first vector(s).
b (cupy.ndarray) – Components of the second vector(s).
axisa (int, optional) – Axis of a that defines the vector(s). By default, the last axis.
axisb (int, optional) – Axis of b that defines the vector(s). By default, the last axis.
axisc (int, optional) – Axis of c containing the cross product vector(s). Ignored if both input vectors have dimension 2, as the return is scalar. By default, the last axis.
axis (int, optional) – If defined, the axis of a, b and c that defines the vector(s) and cross product(s). Overrides axisa, axisb and axisc.

Returns:

Vector cross product(s).

Return type:

cupy.ndarray