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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def cartesian_to_spherical(vectors):
 """ Return the spherical coordinates for coordinates in Cartesian space. This function does an opposite to :func:`spherical_to_cartesian`. :param vectors: :returns: Tuple of three arrays of the same shape as ``vectors`` representing longitude (decimal degrees), latitude (decimal degrees) and depth (km) in specified order. """

    rr = numpy.sqrt(numpy.sum(vectors * vectors, axis=-1))
    xx, yy, zz = vectors.T
    lats = numpy.degrees(numpy.arcsin((zz / rr).clip(-1., 1.)))
    lons = numpy.degrees(numpy.arctan2(yy, xx))
    depths = EARTH_RADIUS - rr
    return lons.T, lats.T, depths