The equation of the plane passing through the line of intersection of the planes $\vec { r } \cdot ( \hat { i } + \hat { j } + \widehat { k } ) = 1$ and $\vec { r } \cdot ( 2 \hat { i } + 3 \hat { j } - \hat { k } ) + 4 = 0$ and parallel to the $x$-axis, is
(1) $\vec { r } \cdot ( \hat { i } + 3 \widehat { k } ) + 6 = 0$
(2) $\vec { r } \cdot ( \hat { i } - 3 \widehat { k } ) + 6 = 0$
(3) $\vec { r } \cdot ( \hat { j } - 3 \widehat { k } ) - 6 = 0$
(4) $\vec { r } \cdot ( \hat { j } - 3 \widehat { k } ) + 6 = 0$