Question: Consider the vector vec ( F ) ( x , y , z ) = 3 xvec ( i ) 5 yvec ( j )

Consider the vector vec(F)(x,y,z)=3xvec(i)5yvec(j)5xyvec(k).
Let C be the curve r(t)=costvec(i)sintvec(j) tvec(k),0t2.
Then Cvec(F)*dvec(r)=
Consider the vector vec ( F ) ( x , y , z ) = 3

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