Suppose that curl $\vec {F }$ is not zero.True or false? If curl $\vec { F }$ is parallel to the $\mathcal { X }$ -axis for all x, y, and z and if C is a circle in the xy-plane, then the circulation of $\vec { F }$ around C is zero.

Question

Suppose that curl

\vec {F }

is not zero.True or false? If curl

\vec { F }

is parallel to the

\mathcal { X }

-axis for all x, y, and z and if C is a circle in the xy-plane, then the circulation of

\vec { F }

around C is zero.

Quizplus · Accepted Answer

If curl $\vec {F}$ is parallel to the $\mathcal {X}$-axis, then its circulation around any closed curve in the $xy$-plane is zero.

Suppose That Curl F⃗\vec {F }F Is Not Zero F⃗\vec { F }F