Solve the Problem $a$ , B, and C So That $\nabla \times \mathbf { F } = \mathbf { 0 }$

Multiple Choice

Solve the problem.
-Find values for $a$ , b, and c so that $\nabla \times \mathbf { F } = \mathbf { 0 }$ for $\mathbf { F } = a x i + b y j + c z k$ .

A) $a = 2 , b = - 1 , c = - 1$
B) $a = 1 , b = 1 , c = 1$
C) $\nabla \times \mathbf { F } = 0$ for any $a , b$ , and $c$ .
D) There is no possible way to make $\nabla \times \mathbf { F } = 0$ .