def project_vectors_table_on_z_axis(vectors: np.ndarray) -> np.ndarray:
    projection_vectors = np.zeros_like(vectors)
    projection_vectors[:, 2] = 1

    vectors *= projection_vectors
    vectors = (vectors[:, 0] + vectors[:, 1] + vectors[:, 2]).reshape((-1, 1))
    zero_axis = np.zeros_like(vectors)

    vectors = np.hstack((zero_axis, zero_axis, vectors))

    return vectors