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

Short Answer

Use Stokes' Theorem to evaluate $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ where $\mathbf { F } ( x , y , z ) = z ^ { 2 } \mathbf { i } + y ^ { 2 } \mathbf { j } + x y \mathbf { k }$ and C is the triangle with vertices $( 1,0,0 ) , ( 0,1,0 )$ , and $( 0,0,2 )$