numpy.linalg.cross#
- linalg.cross(x1, x2, /, *, axis=-1)[source]#
Returns the cross product of 3-element vectors.
If
x1
and/orx2
are multi-dimensional arrays, then the cross-product of each pair of corresponding 3-element vectors is independently computed.This function is Array API compatible, contrary to
numpy.cross
.- Parameters:
- x1array_like
The first input array.
- x2array_like
The second input array. Must be compatible with
x1
for all non-compute axes. The size of the axis over which to compute the cross-product must be the same size as the respective axis inx1
.- axisint, optional
The axis (dimension) of
x1
andx2
containing the vectors for which to compute the cross-product. Default:-1
.
- Returns:
- outndarray
An array containing the cross products.
See also
Examples
Vector cross-product.
>>> x = np.array([1, 2, 3]) >>> y = np.array([4, 5, 6]) >>> np.linalg.cross(x, y) array([-3, 6, -3])
Multiple vector cross-products. Note that the direction of the cross product vector is defined by the right-hand rule.
>>> x = np.array([[1,2,3], [4,5,6]]) >>> y = np.array([[4,5,6], [1,2,3]]) >>> np.linalg.cross(x, y) array([[-3, 6, -3], [ 3, -6, 3]])
>>> x = np.array([[1, 2], [3, 4], [5, 6]]) >>> y = np.array([[4, 5], [6, 1], [2, 3]]) >>> np.linalg.cross(x, y, axis=0) array([[-24, 6], [ 18, 24], [-6, -18]])