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To find the midpoint of a line AB,with the given points A and B

  1. Oct 29, 2013 #1
    1. The problem statement, all variables and given/known data
    *)Given two points A=(4,3,2) and B=(-2,0,5).Find the unit vector extending from origin toward the midpoint of line AB


    2. Relevant equations



    3. The attempt at a solution

    Direction vector to AB=(-6,-3,3) and hence direction vector to its midpoint is (-3,-1.5,1.5)
    So unit vector in the direction of (-3,-1.5,1.5) is (-3i-1.5j+1.5k)/√(9+2.25+2.25).

    Is this the way to do it??
     
  2. jcsd
  3. Oct 29, 2013 #2

    NascentOxygen

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    Staff: Mentor

    I doubt that you have begun this correctly, but my maths is very rusty.

    Perhaps you should take another look at it by first calculating the midpoint of line AB.
     
  4. Oct 29, 2013 #3

    LCKurtz

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    Science Advisor
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    Gold Member

    No. Look up the formula for the mid-point between two points.
     
  5. Oct 30, 2013 #4
    oh,i got wrong with the midpoint formula..so now the midpoint is (1,1.5,3.5).is it correct??
     
  6. Oct 30, 2013 #5

    NascentOxygen

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    Staff: Mentor

    That is the midpoint, yes.
     
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