def METHOD_NAME(dim, blocksize):
    input_first_vector_collection = np.random.randn(dim, blocksize)
    input_second_vector_collection = np.random.randn(dim, blocksize)
    test_vector_collection = _batch_cross(
        input_first_vector_collection, input_second_vector_collection
    )
    correct_vector_collection = np.cross(
        input_first_vector_collection, input_second_vector_collection, axisa=0, axisb=0
    ).T
    assert_allclose(test_vector_collection, correct_vector_collection)