Use Stokes' Theorem to Evaluate $\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z$

Multiple Choice

Use Stokes' Theorem to evaluate $\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z$ where C is the triangle with vertices $( 1,0,0 ) , ( 0.1 .0 )$ , and $( 0.0 .1 )$ , oriented counter clockwise as viewed from above.

A) $- 11$

B) $- \frac { 11 } { 2 }$
C) $- \frac { 7 } { 2 }$
D) $7$
E) $11$
F) $\frac { 11 } { 2 }$

G) $\frac { 7 } { 2 }$

H) $- 7$