Question

@rational @ganeshie8

Sketch the vector field F

Answer 1

\[F(x,y) = \frac{ y i+ x j }{ \sqrt{x^2+y^2} }\]

Answer 2

I'm going to assume right off the bat, that it has a circular orbit

Answer 3

I was thinking of making sort of a table of values for this problem, but I'm not sure if that's right

Answer 4

First of all notice that the length of vectors in constant : 1

Answer 5

Yes

Answer 6

Next see that (x,y) --> (y,x) gives a reflection over y=x line