Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
If you have a function, f, in cylindrical coordinates, can you normalize the function (in a rigorous sense)?
\[f(r,\phi,z)=a*r^{"^"}+b*\phi ^{"^"}+c*z^{"^"}\]
You can find the magnitude by
\[\sqrt{a^2+c^2}\]
but can you truly normalize the function and apply that to a mathematical formula which requires the normalized vector. Or do you have to transform back to rectangular coordinates before normalizing? I have looked through several textbooks and the internet and cannot find anything about normalizing a vector in the cylindrical system.
 one year ago
 one year ago
If you have a function, f, in cylindrical coordinates, can you normalize the function (in a rigorous sense)? \[f(r,\phi,z)=a*r^{"^"}+b*\phi ^{"^"}+c*z^{"^"}\] You can find the magnitude by \[\sqrt{a^2+c^2}\] but can you truly normalize the function and apply that to a mathematical formula which requires the normalized vector. Or do you have to transform back to rectangular coordinates before normalizing? I have looked through several textbooks and the internet and cannot find anything about normalizing a vector in the cylindrical system.
 one year ago
 one year ago

This Question is Closed

hellowBest ResponseYou've already chosen the best response.0
What do you mean by "in a rigorous sense"? I would be interested to see what others think, but what you are describing seems okay to me: The norm of a vector, in the case of a 3D vector, like here, is its length. To normalize a vector, you divide the vector by its norm, creating a unit vector with the same direction as the original vector. So to normalize a 3D vector, you would divide the vector by its length. Thus it seems that \[g=f(r,\theta,z)/\sqrt{a^{2}+c^{2}}\] would be the normalized function, as you have suggested. Again, I do not know if this is "rigorous" enough.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.