The figure shows three paths connecting points \( a \) and \( b \). A single force \( \vec{F} \)...

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The figure shows three paths connecting points \( a \) and \( b \). A single force \( \vec{F} \) does the indicated work on a particle moving along each path in the indicated direction. On the basis of this information, is force \( \vec{F} \) conservative?
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