- #1

Reshma

- 749

- 6

Here it is over a tetrahedron.

Stokes' theorem suggests:

[tex]\int_s {(\nabla\times \vec v).d\vec a = \oint_p\vec v.d\vec r [/tex]

For the right hand side I computed the line integral from (a,0,0)--->(0,2a,0)--->(0,0,a)--->(a,0,0);

which comes out to be [tex]a^2[/tex] (matches with the solution given).

For the surface integral, one needs to obtain the expression for the area element[tex]d\vec a[/tex] of the plane given by the above points, which is where my problem lies. Can someone help me on this?