Let $\mathbf { F } ( x , y , z ) = 4 y \mathbf { i } - 3 z \mathbf { j } + x \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = 4 y \mathbf { i } - 3 z \mathbf { j } + x \mathbf { k }$ and C be the triangle with vertices (1, 0, 0) , (0, 1, 0) , and (0, 0, 1) . Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A) -1
B) 0
C) 1
D) 2
E) 3