Solve the Problem $\text { Find parametric equations for the normal line to the surface } z = 4 x ^ { 2 } - 2 y ^ { 2 } \text { at the point } ( 2,1,14 ) \text {. }$

Multiple Choice

Solve the problem.
- $\text { Find parametric equations for the normal line to the surface } z = 4 x ^ { 2 } - 2 y ^ { 2 } \text { at the point } ( 2,1,14 ) \text {. }$

A) x = 2t + 16, y = t + 8, z = 14t - 1
B) x = 8t + 2, y = -2t + 1, z = -t + 6
C) x = 16t + 2, y = -4t + 1, z = -t + 14
D) x = 2t + 8, y = t - 2, z = -t + 14