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The cutting tool on a lathe is given two displacements, one of magnitude 4 cm and one of magnitude 3 cm, in each one of five situations (a) through (e) diagrammed in the figure below. Rank these situations according to the magnitude of the total displacement of the tool, putting the situation with the greatest resultant magnitude first. Use only ">" or "=" symbols. If any elements are equal, show their equality in alphabetic order (for example: a>b=c).


    c = e > a > d > b

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