- #1
Kalimaa23
- 279
- 0
Greeting
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 , where a is 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 dr in fuction of the new unity vectors?
Then answer : da =drr +rd[the][the] +dzz
How the hell is this determined?
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 , where a is 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 dr in fuction of the new unity vectors?
Then answer : da =drr +rd[the][the] +dzz
How the hell is this determined?