Verify that the work performed along the segment (overline{P Q}) by the constant vector field (mathbf{F}=langle 2,-1,4angle)
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Verify that the work performed along the segment \(\overline{P Q}\) by the constant vector field \(\mathbf{F}=\langle 2,-1,4angle\) is equal to \(\mathbf{F} \cdot \overrightarrow{P Q}\) in these cases:
(a) \(P=(0,0,0), Q=(4,3,5)\)
(b) \(P=(3,2,3), Q=(4,8,12)\)
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