# jax.numpy.cross#

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

Return the cross product of two (arrays of) vectors.

LAX-backend implementation of numpy.cross().

Original docstring below.

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 (array_like) – Components of the first vector(s).

• b (array_like) – 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

c – Vector cross product(s).

Return type

ndarray