Find a Point on the Surface $x y z = 8$

Multiple Choice

Find a point on the surface $x y z = 8$ such that the normal vector at the point is parallel to the vector $\{ 4,2,1 \}$ .

A) $( 1,2 , - 4 )$

B) $( - 1 , - 2,4 )$
C) $( 1 , - 2 , - 4 )$
D)
$( - 1 , - 2 , - 4 )$
E) $( - 1,2,4 )$
F)
$( - 1,2 , - 4 )$

G) $( 1 , - 2 , - 4 )$

H) $( 1,2,4 )$