The Parametric Equations of the Line Through (1,4,-3) Perpendicular to Each

Multiple Choice

The parametric equations of the line through (1,4,-3) perpendicular to each of the lines $\frac { x + 1 } { 2 } = \frac { y + 4 } { 3 } = \frac { z - 3 } { 5 }$ and $\frac { x - 3 } { 3 } = \frac { y } { 1 } = \frac { z + 1 } { 2 }$ is

A) $x = t + 1 , y = 11 t + 4 , z = - 7 t - 3$
B) $x = t - 1 , y = 11 t - 4 , z = 7 t + 3$
C) $x = t - 1 , y = 11 t - 4 , z = - 7 t - 3$
D) $x = t - 1 , y = 11 t + 4 , z = - 7 t + 3$
E) $x = t + 1 , y = 11 t - 4 , z = 7 t - 3$