• Support PF! Buy your school textbooks, materials and every day products Here!

Divergence and Curl of Unit Vectors?

  • Thread starter cranincu
  • Start date
  • #1
4
0

Homework Statement


http://img4.imageshack.us/img4/4218/divergenceandcurl.jpg [Broken]

The Attempt at a Solution


Totally confused on what the question's asking. Wouldn't the divergence of say x_hat be the partial of x_hat over x which is just 0? So every answer would just be 0 or something? Same thing goes with the curl? Thanks
 
Last edited by a moderator:

Answers and Replies

  • #2
nicksauce
Science Advisor
Homework Helper
1,272
5
In cartesian coordinates yes,

But, for example, the r_hat in polar coordinates, written in cartesian coordinates, is
r_hat = (x/sqrt(x^2 +y^2), y/sqrt(x^2 + y^2), 0)

which perhaps has a non-trivial divergence and curl.
 
  • #3
4
0
oh i get it

edit: wait, not really. How can I make theta or phi into into something like r and z in cylindrical?
 
Last edited:

Related Threads for: Divergence and Curl of Unit Vectors?

Replies
1
Views
588
Replies
10
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
722
  • Last Post
Replies
2
Views
2K
Top