let and be lines in , and the reflection of is the mapping of to defined by where is the unit normal to and is any point on Show that two distinct reflections and commute if and only if .
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I solved it, so never mind. This can be deleted, if a moderator would be willing.
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be lines in
, and the reflection of
of
where
is the unit normal to
is any point on
commute if and only if
.
