Question

aa Qu) consder the vectos fied nP K33i -3K3 ) Shew thet Fis Conses vebive on iwe heltplane Cmoute SeFds where C is unit cirele 32 oriented clocKwise. is F cnseruative Counter on

Answer 1

4) F(X + x (zA+zn) a) CRd 7 F(Xi) ; (xニン#0) (3x *y) - 3(2+y2) 2 3z2-3y 222 3x2_3y2-2と 2 ; (xy) +2 3(x2+y2)2l +3y n222 3x2- 3y-2x TRtzス 11 11

iER2- o,o こ0 wrn whl'ch does Fi not contain (o,0). conservali uc > o} not contai'n (o,0) D E C s Conscivai on unit irci clo ck uriru Count en (a = <coso, sino) i -sinlocoslo)> clr Co T dT (-3coso}sino F(o) (coso+ 3sino) i Flo). dr < coso 3sino,-3coso tsino>. <-sino, cos -Coso.sino- 3sin2o LOSO Sin© 3 cos2C 3. 2ズ 27 r-J F.dr -3 do = C Barciettaraxt21 Yes, Fi conson vatiur