Problem 4-Curl The curl operator is defined as vxf = a, (2-)-4, (R-—_R) + a₂ (————-R) (2x ³) Fy Əx əx -ây and may be thought of as "rotation" or the

"amount a paddle-wheel will spin if put into the vector field”. To demonstrate the curl operator, let us consider a situation where wind is blowing with a velocity given by the function v (Robs) = (0, R² (1 - R₂) + 0.5, 0) The curl of this velocity vector field is trivial to derive and is V x v = (R², 0, -2Rx (R₂-1) ) 1. Produce a 3D vector field plot of the "wind" field in the following range: -1 ≤ x ≤ 1 −1≤ y ≤1 0 ≤z≤1 2. In the same plot, overlay a second vector field with represents the curl of the wind field.