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A TA has got me very and utterly confused. He won't be avaible for a few days, so I'm asking you guys.

Consider the transformation to cilindrical coord.

x-->r.con[the]

y-->r.sin[the]

z-->z

I have the Jabobian (no problems here).

He then asks the differential da, whereais a vector.

Enter the first confusion. I know the differential of the transformation (the linear function given by the Jacobian matrix), but what the hell is the differential of a vector?

My guess is: da=dxx+dyy+dzz.

I have the unity vectors of the new system.

The trick is now what is drin fuction of the new unity vectors?

Then answer : da=drr+rd[the][the]+dzz

How the hell is this determined?

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# Coördinate transformation

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