First, go ahead and finish the derivative: (F12G2+ F1G22- F22G1- F2G12- G12F3- G1F33+ G33F1+ G3F13)i etc. Tedious and complicated but doable. Then do the same thing for F div G- G div F+ (G.Delta)F- (F.Delta)G and compare.
Hi
Im a bit stuck
I have done the cross multiplication
i --- j --- k
F1 --- F2 --- F2
G1 ---G2 --- G3
(F2G3 - F3G2)i + (G1F3 - G3F1)j + (F1G2 - F2G1)k
Then cross multilpies it again
so
i --------------------- j -------------------- k
d/dx -------------------- d/dy ---------------------- d/dz
F2G3 - F3G2-------------- G1F3 - G3F1--------------------- F1G2 - F2G1
And done this and got
(d/dy(F1G2 - F2G1) - d/dz (G1F3 - G3F1))i + (d/dz(F2G3 - F3G2) - d/dx(F1G2 - F2G1))j + (d/dx(G1F3 - G3F1) - d/dy(F2G3 - F3G2))k
Now i dont know how to shows this is FdivG - GdivF + (G.Delta)F - (F.Delta)G
Thanks