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Miller index planes and directions relationship

  1. Jan 31, 2012 #1
    1. The problem statement, all variables and given/known data
    do you notice a relationship between the plane and directions of the same miller index? what is it?

    2. Relevant equations

    I've done planes and directions (111), [111], (112), and [112]

    3. The attempt at a solution
    I believe the direction is normal to the plane on first glance, but I can't seem to do the math to prove it. first off, am I right that the direction is perpendicular and second, how would I begin to prove this?
  2. jcsd
  3. Feb 1, 2012 #2
    yea the direction does appear to be perpendicular to the plane.
    are you sure you need to prove it using math?
  4. Feb 1, 2012 #3
    I suppose I wouldn't have to prove it using math, but I do feel like I need some reason other than "they look perpendicular". I guess the reasoning behind why this happens is what I'm after.
  5. Feb 1, 2012 #4
    the way the question is worded implies you probably dont need to show using math.

    is this an intro to materials class? or upper div?
  6. Feb 1, 2012 #5
    It's an upper level engineering class, but it's also a basic materials class. Basically, a lot is expected of us, so I want to be sure that I'm not missing some simple proof. If that were the case, I'd receive little to no credit for my answer.
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