Some Math people help me with this before I lose my mind

So we got ya boy Stokes Theorem: ∬R(∇×F)∙n^dS=∮∂RF∙dp ∮C(x−y)dx+(x−2y+z)dy+(3x+z)dz C is parameterized by p(t)=⟨cos(t),sin(t),3⟩, 0≤t<2π So I get ∇×F(x,y,z) = <-1, -3, 2> ezpz but then for n they get <0, 0, 1> and they don't explain how and I can't figure it out. Someone pls help me I don't get it. Edit: Here's a screenshot if it makes it easier to read https://i.imgur.com/kWcjxyo.png
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