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 $z = 6 - x - y$ lying above the square with vertices (0, 0) , (1, 0) , (1, 1) , and (0, 1) 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) $- 4$
B) $- 2$
C) $- 1$
D) $0$