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stokes thoerem
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im able to do (i)
not sure how to do (ii)
@bswan
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I have to do it from (i) too
but for (ii) if u just want normal vector to plane that is z-x=3 so 'a' normal vector is <-1,0,1>
for (i) if they intersect their z values are equal, so you can see at what x and y values they are equal that must be the domain of intersection
now by stokes theorem we know that the line integral around this cruve is the same as Integral of Del X F da, the are we talking about here is the plane area as that is easier to integrate over, no matter what area we pick as long as its bounded by the same curve it must result in the that line integral by stokes theorem(look up proof)
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