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Cartesian equations

  1. Sep 16, 2004 #1
    Find a cartesian equation for the perpendicular bisector of the line joining:
    A, (2,3) and B, (0,6).

    Haven't come across this before, and really am stuck!

    Thanks in advance.
     
  2. jcsd
  3. Sep 16, 2004 #2

    arildno

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    Split your problem in several subproblems:
    1. What is the coordinates of the midpoint of the line segment?
    2. Which unit vector is parallell to the line segment ? (That is, determine the direction vector to the line segment!)
    3. Which unit vector is normal to the line segment's direction vector?
    4. Construct the perpendicular by using the facts:
    a) The perpendicular goes through the midpoint
    b) Is parallell to the normal vector
     
    Last edited: Sep 16, 2004
  4. Sep 16, 2004 #3
    I'm not so good on maths! What is a bi-sector?
     
  5. Sep 16, 2004 #4

    arildno

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    "bi-sector" bisects the line,i.e. goes through the midpoint of the line.
     
  6. Sep 16, 2004 #5

    mathwonk

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    "bi" means two, and "sect" means cut. so bisect is "cut in two".
     
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