Here's the problem which is stumping me:
If , find .
Here's what I tried:
I thought to parametrize a path between f(0,0,0) and f(3,3,3) to no avail.
r(t)=(1-t)<0,0,0>+t<3,3,3> -2; 0<t<1
Then I attempted to take line integral of f(r(t)) dot r'(t) from 0->1, but did not receive the correct answer.