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  Fig. 5.34a-b: a) Infinitesimal vectors dX and dx with components (dX, dY) and (dx, dy) lie along a material line segment in the initial and final states respectively. The vectors emanate from the initial and final positions of the same particle. Only the end points of the position vectors, X and x, for that particle are indicated. The displacement vector u has components (ux, uy). b) The vectors may be represented in terms of polar coordinates also.  
         
 
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