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Follow the steps to calculate the line integral of the vector field along the line segment between the given points using the method of Case 1. \[ \vec{F}=-7 \vec{i}+e^{x} \vec{j}+(x-3) \vec{k} \text {, from }(5,0,1) \text { to }(5,3,7) \] The displacement vector: \( \vec{d}= \) When restricted to the points on the path \( C: \quad \vec{F}= \) \[ \vec{F}+\vec{d}= \] \[ \int_{C} \vec{F} \cdot d \vec{r}= \]

SOLUTION :- Given vector field is F?=(?7)i+(ex)j+(x?3)k And two points are (5,0,1) and (5,3,7) Then we have to find the displacement vector, So the di

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