Question
Problem 4 - Curl The curl operator is defined as VXF = â [F - 2E) -a ( F - F)+ (x , y Ex) 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 - Rz) + 0.5, 0) The curl of this velocity vector field is trivial to derive and is V XỬ = (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.
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