NMC101H1 Final: Lecture Notes (final test review)

6. Choose the correct statement given that f(x) dr = 5 and f f(x) dr =-1 [A] f:f(x) dr =-I [B] f(x) dr = 6 [C] ff(x) dr = 6 [D] ff(x) dr = 4 [E] None of these

Iff is a scalar field and F, G are vector fields, then fF, F , G, and F × G are defined by the following. (fF)(x, y, z) -fx, y, z) F(x, y, z) (F-G)(x, y, z) = F(x, y, z) . G(x, y, z) (FX G)(x, y, z) = F(x, y, z) x G(x, y, z) Find an identical expression, assuming that the appropriate partial derivatives exist and are continuous curl (F+ G) curl Fdiv G O div Fdiv G curl Fcurl G G curl F F curl G O none of the above Need Help? Read It Talk to a Tutor