Can a plane reflection in 3-space be written as the product of 3 line reflections?
My guts say the answer is No. Don't just tell me that my guts are right because the determinant of a plane reflection is -1 but the determinant of any line reflection, and so too any product of line reflections, is +1. This presupposes that the plane and the three lines all pass through the origin ... which may not be the case! Or, at least an argument would need to be given why the general case reduces to this special case.
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Wunderbar! The demonstration is valid!!
You're welcome. Thanks for the coffee.