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Math Help - prove that distinct reflections commute iff...

  1. #1
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    prove that distinct reflections commute iff...

    let  m and  l be lines in  E_2, and the reflection of  l is the mapping  \Omega_l of  E_2 to  E_2 defined by  \Omega_lX = X - 2N((X - P) \cdot N) where  N is the unit normal to  l and  P is any point on  l

    Show that two distinct reflections  \Omega_l and  \Omega_mcommute if and only if  m \perp l.
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  2. #2
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    I solved it, so never mind. This can be deleted, if a moderator would be willing.
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