In a mathematical universe and in the time = 0, a disk starts rotating with a constant angular velocity of = 1+ 1+ 1, over which there is a randomly-located particle P with the position vector of = + + . We know that under such a motion, the velocity vector of the particle P can be found as | = . This sole rotating condition continues until the time = 1, when a harmonic wind field with the velocity vector of = 2 cos + 2 cos + 2 cos 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 |, until = 2. What is the curl |, ? Hint : Describe |, as a linear combination of and .