Differential forms and wedge products are giving me trouble.

[jdinatale]

I'm having problems in my differential geometry class. Does anyone know of a good tutorial or set of notes? The 1-form, 2-form, 3-form stuff is confusing and so is the wedge product.

Anyways, here's the problem. After some algebra I arrived at my answer, but I'm unsure of how to incorporate the vectors v, w, x. Ideas?

 

[MathematicalPhysicist]

I am a bit rusty with this subject, but if I am not mistake you should have:

$$v=(f_1,f_2,f_3) \ w=(g_1,g_2,g_3) \ x=(h_1,h_2,h_3)$$