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Module « numpy.linalg »

Fonction cross - module numpy.linalg

Signature de la fonction cross

def cross(x1, x2, /, *, axis=-1) 

Description

help(numpy.linalg.cross)

Returns the cross product of 3-element vectors.

If ``x1`` and/or ``x2`` 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
:func:`numpy.cross`.

Parameters
----------
x1 : array_like
    The first input array.
x2 : array_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
    in ``x1``.
axis : int, optional
    The axis (dimension) of ``x1`` and ``x2`` containing the vectors for
    which to compute the cross-product. Default: ``-1``.

Returns
-------
out : ndarray
    An array containing the cross products.

See Also
--------
numpy.cross

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]])

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