The vector equation of the plane through the line of intersection of the planes $x + y + z = 1$ and $2 x + 3 y + 4 z = 5$ which is perpendicular to the plane $x - y + z = 0$ is\\
(1) $\vec { r } \times ( \hat { i } + \hat { k } ) + 2 = 0$\\
(2) $\vec { r } \cdot ( \hat { i } - \hat { k } ) - 2 = 0$\\
(3) $\vec { r } \times ( \hat { i } - \hat { k } ) + 2 = 0$\\
(4) $\vec { r } \cdot ( \hat { i } - \hat { k } ) + 2 = 0$