Collinear points

  • #1

Main Question or Discussion Point

Are the points (1,0) and (0,1) collinear?
 

Answers and Replies

  • #2
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  • #3
Stephen Tashi
Science Advisor
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Are you asking if (1,0) and (0,1) are collinear with each other ? - or did you intend to ask a different question?
 
  • #4
What is a line to you?
Combination of collinear points
 
  • #5
Are you asking if (1,0) and (0,1) are collinear with each other ? - or did you intend to ask a different question?
Same as you understood
 
  • #6
12,683
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Combination of collinear points
To say what colinear is, you first have to say what linear is, in this case a line. You cannot define colinear by line and line by colinear at the same time. In this case they would be equivalent and the answer would be trivially yes. So in order to get some meaning to the question, you have to put some truth in it somewhere. That's why I asked, what a line is to you. How can I answer a question about colinear points, if it isn't clear what a line is?
 
  • #7
Ok what is a line then
 
  • #8
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  • #9
mathman
Science Advisor
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Two points define a straight line. So the original question is trivially answered by yes. Usually when asking about collinear, the question involves more than two points.
 

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