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Determining if a line is perpendicular in ##R^3##

  1. Feb 3, 2015 #1
    1. The problem statement, all variables and given/known data
    Is the line through (-2, 4, 0) and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, -1, -8)?

    2. Relevant equations
    R = R0 + tV (for each line)

    3. The attempt at a solution
    If the lines are parallel, then the V for the two equations will be proportional to each other. How are the two V's related if they are perpendicular?
     
  2. jcsd
  3. Feb 3, 2015 #2

    Dick

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    Think dot product.
     
  4. Feb 3, 2015 #3
    I see thank you, Dick.
     
  5. Feb 3, 2015 #4
    You could also use the cross product if you prefer that.
     
  6. Feb 3, 2015 #5

    LCKurtz

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    And you don't mind doing at least three times as much work...
     
  7. Feb 3, 2015 #6
  8. Feb 3, 2015 #7

    SammyS

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    You might also want to be sure that the lines intersect and thus are not skew lines.
     
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