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Common perpendicular of two lines

  1. Mar 20, 2012 #1
    Hi there,
    The two given lines:
    1) x / 2 = (y-1) / 2 = z
    2) x + 1 = y – 2 = (z + 4) / 2
    I need to find the common perpendicular between them.
    Though when I tried to calculate the distance between them, I get 0.

    Can someone please help?

    Thanks in advance
     
  2. jcsd
  3. Mar 21, 2012 #2

    LCKurtz

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    Think about the cross product of their direction vectors.
     
  4. Mar 21, 2012 #3
    Easier than I thought!!! Thanks :)
     
  5. Mar 21, 2012 #4
    Direction vectors of lines 1 and 2: V1 = (2, 2, 1), V2 = (1, 1, 2)
    V1 X V2 = (3, -3, 0)

    Is it correct?
     
  6. Mar 21, 2012 #5

    HallsofIvy

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    Yes, it is.
     
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