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Unit vector of a line in straight line equation

  1. Apr 3, 2015 #1
    I know that for two points, the difference between them is a line segment

    lets say these two points are 'a' and 'b' respectively, so b-a = "new vector represent the line"

    In my text book b-a=d*t -- where 'd' is a vector along the directon of 'b-a' and t is a parameter.

    does 'd' actually represent the unit vector of the line? or it's just an arbitrary line with the same direction?
  2. jcsd
  3. Apr 3, 2015 #2
    Not necessarily the unit vector but any vector with the same direction. the absolute value of t is the magnitude of the vector b-a divided by the magnitude of the vector d.
  4. Apr 3, 2015 #3


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    Following up with Delta²'s comment, what is the range of t?

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