I need calculations

In a mathematical universe and in the time t = to, a disk starts rotating with a constant angular velocity of Wdisk = dji + bij + cik, over which there is a randomly-located particle P with the position vector of Tp = xi + yj + zk. We know that under such a motion, the velocity vector of the particle P can be found as Vpidisk = Wdisk X Tp. This sole rotating condition continues until the time t = t1, when a harmonic wind field with the velocity vector of Vwind = d2 cos zi + b2 cos x ] + C2 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 VPIdisk, wind until t = t2. At this time, a tornado with angular velocity of Wtornoado = Q3xi + bay] + 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 VPIdisk at the time to S t t2? Hint: Describe V X VPIdisk, wind,tornado as a function of Wdisk, WTornoado, V X Vwind and (V. WTornoado) TP d. Under what condition(s) of WTornoado and rp, we will have V X VP Disk, wind,tornado 2 V X VP Disk, wind? Discuss your