Can Vector Field G on R^3 Exist?

  • Thread starter Thread starter briteliner
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around the existence of a vector field G defined on R^3, specifically given by the expression G=. Participants are exploring the validity of this vector field based on definitions and interpretations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants question the original poster's understanding of what constitutes a vector field, while others reference a textbook that states the answer is no, leading to a discussion about definitions and interpretations.

Discussion Status

The discussion is ongoing, with participants exploring different definitions of a vector field and questioning the original poster's interpretation. There is no explicit consensus on the matter, and the conversation is focused on clarifying concepts rather than reaching a conclusion.

Contextual Notes

Participants are referencing a textbook for guidance, which states that the vector field does not exist, but there is a lack of clarity on the definitions being used in the discussion.

briteliner
Messages
62
Reaction score
0

Homework Statement


can there be a vector field G on R^3 such that G=<xsiny, cosy, z-xy>?


Homework Equations





The Attempt at a Solution

\
the answer is no, but i don't understand why. any help is appreciated, thanks
 
Physics news on Phys.org
G IS a vector field on R^3. I don't think you have the question right.
 
i checked again, i have the question right, and in the back of the book it says no
 
Ok. Then what is your definition of 'vector field'?
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
3
Views
2K
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K