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A groove is in the form of a broken line...

A groove is in the form of a broken line ABC and the position vectors fo the three points are respectively ` 2hati -3hatj +2hatk , 3hati -hatk , hati +hatj +hatk`, A force of magnitude ` 24sqrt3` acts on a particle of unit mass kept at the point A and moves it angle the groove to the point C. If the line of action of the force is parallel to the vector ` hati +2hatj +hatk` all along, the number of units of work done by the force is

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