Vector operations in polar coordinates?

Click For Summary
SUMMARY

Vector operations can indeed be performed in polar coordinates, as confirmed by multiple sources including MathWorld's pages on Polar Coordinates and Cylindrical Coordinates. The complexity of these calculations increases when dealing with curvilinear coordinates compared to Cartesian coordinates, represented by the unit vectors (\vec{i},\vec{j}). Spherical coordinates introduce even greater challenges in vector operations.

PREREQUISITES
  • Understanding of vector calculus
  • Familiarity with polar coordinates
  • Knowledge of curvilinear coordinates
  • Basic concepts of spherical coordinates
NEXT STEPS
  • Study vector operations in polar coordinates
  • Explore the differences between Cartesian and curvilinear coordinates
  • Learn about vector calculus in spherical coordinates
  • Review resources on vector derivatives in curvilinear systems
USEFUL FOR

Students and professionals in mathematics, physics, and engineering who are working with vector calculus and coordinate transformations.

Coeyo
Messages
2
Reaction score
0
Is it possible to do vector operations in polar coordinates?
 
Physics news on Phys.org
Coeyo said:
Is it possible to do vector operations in polar coordinates?

As you may probably have seen from the links provided,YES...Since we're talking about curvilinear coordinates,the calculations are more difficult than the ones with the old [itex](\vec{i},\vec{j})[/itex]

And for spherical it gets worse...

Daniel.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
8
Views
2K
Replies
13
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 25 ·
Replies
25
Views
4K
Replies
40
Views
4K
  • · Replies 8 ·
Replies
8
Views
14K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K