An angle between the plane $x + y + z = 5$ and the line of intersection of the planes, $3 x + 4 y + z - 1 = 0$ and $5 x + 8 y + 2 z + 14 = 0$ is
(1) $\cos ^ { - 1 } \left( \sqrt { \frac { 3 } { 17 } } \right)$
(2) $\cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 17 } } \right)$
(3) $\sin ^ { - 1 } \left( \frac { 3 } { \sqrt { 17 } } \right)$
(4) $\sin ^ { - 1 } \left( \sqrt { \frac { 3 } { 17 } } \right)$
An angle between the plane $x + y + z = 5$ and the line of intersection of the planes, $3 x + 4 y + z - 1 = 0$ and $5 x + 8 y + 2 z + 14 = 0$ is\\
(1) $\cos ^ { - 1 } \left( \sqrt { \frac { 3 } { 17 } } \right)$\\
(2) $\cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 17 } } \right)$\\
(3) $\sin ^ { - 1 } \left( \frac { 3 } { \sqrt { 17 } } \right)$\\
(4) $\sin ^ { - 1 } \left( \sqrt { \frac { 3 } { 17 } } \right)$