Use Stokes' Theorem to Evaluate $\int _ { C } \vec { F } \cdot d \vec { r }$

Multiple Choice

Use Stokes' theorem to evaluate $\int _ { C } \vec { F } \cdot d \vec { r }$ , where C is in the plane $z = 7 - 2 x - y$ lying above the square with vertices (0, 0) , (2, 0) , (2, 2) , and (0, 2) with the normal vector in the positive z direction where $\vec { F } ( x , y , z ) = \left\langle z , y ^ { 2 } , 3 x \right\rangle$

A) $- 16$
B) $- 8$
C) $- 4$
D) $- 2$