The vertices $B$ and $C$ of a $\triangle A B C$ lie on the line, $\frac { x + 2 } { 3 } = \frac { y - 1 } { 0 } = \frac { z } { 4 }$ such that $B C = 5$ units. Then the area (in sq. units) of this triangle, given the point $A ( 1 , - 1,2 )$, is\\
(1) 6\\
(2) $2 \sqrt { 34 }$\\
(3) $\sqrt { 34 }$\\
(4) $5 \sqrt { 17 }$