Use Stokes' Theorem to Calculate the Circulation of the Field $\mathbf { F } = 2 \mathrm { yi } + \mathrm { yj } + \mathrm { zk } ; \mathrm { C }$

Multiple Choice

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
- $\mathbf { F } = 2 \mathrm { yi } + \mathrm { yj } + \mathrm { zk } ; \mathrm { C }$ : the counterclockwise path around the boundary of the ellipse $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$

A) $- 12$
B) $- 12 \pi$
C) $12 \pi$
D) $6 \pi$