Calculate the line integral of the vecor field  f(x,y,z) along the curve C [math]\left(\displaystyle\int\limits_C f \cdot dr\right) [/math]

 

1)f(x,y,z) = yzi  + xzj  + xyk; C :  the polygonal path from (0,0,0) to (1,0,0) to ( 1,2,0).

 

2)f(x,y,z) = xyi  + (z-x)j  + 2yzk;  C : the  polygonal path from (0,0,0) to (1,0,0) to (1,2,0) to (1,2,-2).

 

   How can I use here Stokes theorem?

My work to answer to both these questions is in progress. Any math help, clue, or even correct answers will be accepted.😇😀

Edited October 26, 20223 yr by Dhamnekar Win,odd

[math]\displaystyle\int\limits_C xydx + (z-x)dy + 2yzdz = 0-2+8=6[/math]

Edited November 9, 20223 yr by Dhamnekar Win,odd