Suppose that $\vec { F }$ is a vector field defined everywhere with constant negative divergence C.Decide if the following statement is true.
There is $\text { no oriented }$ surface S for which $\hat { \mathrm { Q } } { \vec { F } \times \vec{ d A } } = 0$

Question

Suppose that $\vec { F }$ is a vector field defined everywhere with constant negative divergence C.Decide if the following statement is true.
There is $\text { no oriented }$ surface S for which $\hat { \mathrm { Q } }  { \vec { F } \times \vec{ d A } } = 0$

Quizplus · Accepted Answer

If the divergence of $\vec { F }$ is negative, then the flux of $\vec { F }$ through any closed surface is negative. This means that there is no oriented surface S for which $\hat { \mathrm { Q } }  { \vec { F } \times \vec{ d A } } = 0$.

Suppose That F⃗\vec { F }F Is a Vector Field Defined Everywhere with Constant Negative Divergence

Suppose That $\vec { F }$ Is a Vector Field Defined Everywhere with Constant Negative Divergence