For the curve $y = 3 e ^ { x - 1 }$, when the tangent line at point A passes through the origin O, what is the length of segment OA? [3 points] (1) $\sqrt { 6 }$ (2) $\sqrt { 7 }$ (3) $2 \sqrt { 2 }$ (4) 3 (5) $\sqrt { 10 }$
For the curve $y = 3 e ^ { x - 1 }$, when the tangent line at point A passes through the origin O, what is the length of segment OA? [3 points]\\
(1) $\sqrt { 6 }$\\
(2) $\sqrt { 7 }$\\
(3) $2 \sqrt { 2 }$\\
(4) 3\\
(5) $\sqrt { 10 }$