Let SS be the plane 5x+3y-3z=155x+3y-3z=15 in octant V with…
Let SS be the plane 5x+3y-3z=155x+3y-3z=15 in octant V with a downward facing Normal, and F→=\vec{F}=.a) Evaluate ∫S∫(∇×F→)∙N→ dS\int_S\int{(\nabla\times\vec{F})\bullet\vec{N}\ dS}b) Find ∫CF→∙ dr→\int_C{\vec{F}\bullet\ d\vec{r}} where CC is the boundary curve of SS.Hint: it iS possible to answer This part (b) withOut showing any worK as long as you statE why/what theorem(s) you are uSing