Question a] F 1 3'2: _ 72+\"! _3'y . Given the vector field Calculate the divergence of the vector eld and simplify the answer. bl When we work in the plane [R2] we can look at it as part of a threedimensional space {RE} where z = 0. Thus we can see the vector eld above as the vector eld 3-3 1 F== + 3-y D This allows us to calculate the rotation [curl] of a vector eld in the plane. We know in these cases F3 must he I} and neither F1 nor F2 are dependent on 2, so EJWL _ Jt E 63 _-Bm _ 355 0 . By Bz &z and the formula for curl is reduced to '4 X '1! H EEEEEE | eeaa H O Calculate the rotation [curl] of the vector field. Note! Rotation to a vector field is a vector, but when we calculate in the plane it is onlv the zcoordinate we need and we therefore write only a number.' V'x]?=d