1)Use Stokes' Theorem to find the circulation of F⃗ =2yi⃗ +2zj⃗ +2xk⃗ around the triangle obtained by tracing out the path (2,0,0) to (2,0,2), to (2,5,2) back to (2,0,0).

Circulation = ∫CF⃗ ⋅dr⃗ =

Question

1)Use Stokes' Theorem to find the circulation of F⃗ =2yi⃗ +2zj⃗ +2xk⃗  around the triangle obtained by tracing out the path (2,0,0) to (2,0,2), to (2,5,2) back to (2,0,0). 

Circulation = ∫CF⃗ ⋅dr⃗  =

unklerhaukus · Answer

compute the curl of the field, 
and use the area of the triangle as S,

unklerhaukus · Answer

Stokes' Theorem 
$$\oint_C\vec {\mathbf F}\cdot\mathrm d\vec {\mathbf r}=\iint_S(\nabla\times\vec {\mathbf F})\cdot\mathrm d\vec {\mathbf S}$$

isbella · Answer

the curl is <-2,-2,-2> and F=<2y,2z,2x> how do i find the triangle area?

unklerhaukus · Answer

|dw:1416740764422:dw|