Find the Direction Vector of the Line Which Is the Intersection

Multiple Choice

Find the direction vector of the line which is the intersection of the planes x + y + z = 1 and x + y - z = 2.

A) $\{ 2,2 , - 2 \}$
B) $\{ 0 , - 2,2 \}$
C) $\{ - 2,2,0 \}$
D) $\{ 2,2,0 \}$
E) $( 2,2,2 )$
F) $\{ 0 , - 2 , - 2 \}$
G) $\{ - 2 , - 2,0 \}$
H) $\{ 0,2,2 \}$