Question: Please show your work. (2) Consider some fluid moving with velocity v = (z - x2 y, z + x, 3y - 2x). (a) Compute

Please show your work.

(2) Consider some fluid moving with velocity v = (z - x2 y, z + x, 3y - 2x). (a) Compute the curl of this vector field. (b) Suppose a ball is moving inside this fluid. When looking from above the ball, how is it spinning about it's axis of rotation: in a clockwise way or in a counterclockwise manner? Explain

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