Solution: Let F(x, y, z)=fracz^2x \vecimath+fracz^2y \vecjmath+2 z ln x y \veck Evaluate ∫_C F • d \vecs Where C is the path of straight line


Question: Let \(\vec{F}(x, y, z)=\frac{z^{2}}{x} \vec{\imath}+\frac{z^{2}}{y} \vec{\jmath}+2 z \ln x y \vec{k}\)

Evaluate \(\int_{C} \vec{F} \cdot \mathrm{d} \vec{s}\) Where \(C\) is the path of straight line segments from \(P=(1,2,1)\) to \(Q=(4,1,7)\) to \(R=(5,11,7)\), and then back to \(P\).

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