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Math Help - Complex Functions Help

  1. #1
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    Complex Functions Help

    Hello!

    I need help with the following question:


    Find the point of intersection and the angle of intersection of the straight lines

    |z - 1 - j| = |z - 3 + j|

    |z - 1 + j| = |z - 3 - j|


    I have already found the point of intersection to be z = 2, i.e x=2,y=0. But I don't know how to find the angle of intersection.

    All help is much appreciated. Thanks.
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  2. #2
    Junior Member roy_zhang's Avatar
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    If you let z=xi+yj, plug into the given equations, you will find out that the straight lines are y=x-2 and y=-x+2. They are perpendicular to each other, hence the angle of intersection is 90.
    Last edited by roy_zhang; March 5th 2008 at 08:01 PM.
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  3. #3
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    Thanks for the help roy_zhang. Highly appreciated.
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