Yet another cross-product integral

  • #1
Johan_S
1
0
TL;DR Summary
I am trying to figure out how to do a more complex cross-product integral and get stuck, and since my books are 1000 km away I turn to here
I am trying to integrate a cross product and I wonder if the following is true. It does not feel like it is true but it would be very nice if it was since otherwise I have a problem with the signs...

This is my first time posting here, so I just pasted in the LaTeX code and hope that it is parsed...

##\int\overline{r} \times \frac{d\overline{p}}{dt} \; d\overline{\phi} = - \int\overline{r} \times \frac{d\overline{\phi}}{dt} \; d\overline{p}##
 
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Answers and Replies

  • #2
anuttarasammyak
Gold Member
1,850
951
What kind of vector ##\bar{\phi}## is ?

I observe two vectors in your integral
[tex]\int \mathbf{A} d\mathbf{B}[/tex].
Do you mean inner product
[tex]\int \mathbf{A} \cdot d\mathbf{B}[/tex] ?
 

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