Calculate the circulation, ∫CF⃗ ⋅dr⃗ , in two ways, directly and using Stokes' Theorem. The vector field F⃗ =(8x−y+5z)(i⃗ +j⃗ ) and C is the triangle with vertices (0,0,0), (8,0,0), (8,3,0) , traversed in that order. Calculating directly, we break C into three paths. For each, give a parameterization r⃗ (t) that traverses the path from start to end for 0≤t≤1. On C1 from (0,0,0) to (8,0,0), r⃗ (t)= On C2 from (8,0,0) to (8,3,0), r⃗ (t)= On C3 from (8,3,0) to (0,0,0), r⃗ (t)=