Vector coordinates and its points

Click For Summary

Discussion Overview

The discussion revolves around understanding vector coordinates and the concept of points associated with vectors. Participants explore whether it is possible to determine specific points from given vector coordinates without using the origin as a reference point.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks if it is possible to know the points of a vector given its coordinates, specifically mentioning the vector vec(PQ) <-1,4,-5>.
  • Another participant responds negatively, suggesting that it is not possible to find specific points P and Q from the vector alone.
  • A later reply affirms the initial query, indicating a misunderstanding and seeking clarification on the nature of vectors.
  • One participant emphasizes that a vector does not have specific points, explaining that different directed line segments can represent the same vector without sharing common points.

Areas of Agreement / Disagreement

Participants express disagreement regarding the ability to identify specific points from vector coordinates. Some assert that it is not possible, while others seek clarification on the concept of vectors and their representation.

Contextual Notes

The discussion highlights the ambiguity in defining points associated with vectors and the implications of using the origin as a reference. The nature of vectors as directed quantities is also a focal point, but the limitations of the discussion regarding specific points remain unresolved.

jhosamelly
Messages
125
Reaction score
0
Is there a way to know the points if I only have the vector coordinates and I can't use the origin as one of the points? For example, if I have vec(PQ) <-1,4,-5> . Is there a way to know the points of this vector?
 
Physics news on Phys.org
jhosamelly said:
Is there a way to know the points if I only have the vector coordinates and I can't use the origin as one of the points? For example, if I have vec(PQ) <-1,4,-5> . Is there a way to know the points of this vector?
Do you mean, is there a way to find P and Q? No.
 
haruspex said:
Do you mean, is there a way to find P and Q? No.
Yes. That's what I mean. Thanks for your reply. i thought I got it wrong. :)
 
Do you understand that a vector does NOT have specific "points"? A basic property of a vector is that two different "directed line segments" (for example, the segment from (1, 1, 1) to (0, 5, -4) and the segment from (3, 1, 2) to (2, 4, -3)) can represent the same vector and have no "points" in common.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 23 ·
Replies
23
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 18 ·
Replies
18
Views
4K