In a mathematical universe and in the time t = to, a disk starts rotating with a constant angular velocity of Wdisk = aji+ bij + cik, over which there is a randomly-located particle P with the position vector of rp = xi + yj + zk. We know that under such a motion, the velocity vector of the particle P can be found as Vp disk = Wdisk X Tp. This sole rotating condition continues until the time t = t,, when a harmonic wind field with the velocity vector of Vwind = d2 coszi + b2 cos x j + cz cosy k starts to blow over the rotating disk. The particle remains under the influence of the rotating disk and the blowing breeze with the velocity vector of Veldisk,wing until t = t2. At this time, a tornado with angular velocity of Wtornoado = d3xi + by) + C3Zk emerges over the rotating disk and becomes the third component for determining the velocity of the randomly-located particle, i.e. Vp|disk,wind,tornado. a. What is the curl of Veldisk at the time to S t