Question

Compute the flux of the vector field v(x,y)=(x,y) across the circle around the origin of radius 3.

Compute the flow of the vector field v(x,y)=(x,y) along the circle around the origin of radius 3.

I know the equations to find flux and flow, but I don't know how to do it using the vector v(x,y)=(x,y).

Answer 1

Do you know about divergence and curl ?

I have a sneaking suspicion that the divergence and curl (no sources or sinks and no vortices with singularities at the origin) are zero and the flux and line integral around the closed surface are zero.