- #1
FeDeX_LaTeX
Gold Member
- 437
- 13
Hello;
How do I solve an integral involving the dot product?
For example, imagine I have two vectors A and B, and I want to calculate;
[tex]\int \vec{A}\cdot\vec{B}[/tex]
How do I do this?
I am asking because, I read somewhere that I have to evaluate the dot product first:
[tex]\int |A||B|\cos\theta[/tex]
But I have no idea where to go from here. I know integrating [tex]\cos\theta[/tex] gives me [tex]\sin\theta[/tex], but don't know what to do about the two magnitudes of vectors A and B.
Thanks
How do I solve an integral involving the dot product?
For example, imagine I have two vectors A and B, and I want to calculate;
[tex]\int \vec{A}\cdot\vec{B}[/tex]
How do I do this?
I am asking because, I read somewhere that I have to evaluate the dot product first:
[tex]\int |A||B|\cos\theta[/tex]
But I have no idea where to go from here. I know integrating [tex]\cos\theta[/tex] gives me [tex]\sin\theta[/tex], but don't know what to do about the two magnitudes of vectors A and B.
Thanks