Suppose That And $\int _ { C _ { 4 } } \vec { F } \cdot \overline { d r } = - 1$

Short Answer

Suppose that $\int _ { C _ { 1 } } \vec { F } \cdot \overline { d r } = 4 , \int _ { C _ { 2 } } \vec { F } \cdot \overline { d r } = 3 , \int _ { C _ { 3 } } \vec { F } \cdot \overline { d r } = 16$ and $\int _ { C _ { 4 } } \vec { F } \cdot \overline { d r } = - 1$ where C₁ is the line joining (0, 0)to (1, 0), C₂ is the line joining (0, 0)to (3, 0), C₃ is the line joining (0, 0)to (0, 1)and C₄ is the line joining (0, 1)to (0, 2).
Determine, if possible, the value of the line integral of $\vec{F}$ along the line from (0, 1)to (1, 0).If the value cannot be determined, say so.