Prove Thomsen's Relation: for any lines
a,b
, and
c
, we have
R_(c)R_(a)R_(b)R_(c)R_(a)R_(b)R_(a)R_(b)R_(c)R_(a)R_(b)R_(c) \times R_(b)R_(a)R_(c)R_(b)R_(a)R_(b)R_(a)R_(c)R_(b)R_(a)=I,
where
I
is the identity transformation.

Question

Prove Thomsen's Relation: for any lines

a,b

, and

c

, we have

R_(c)R_(a)R_(b)R_(c)R_(a)R_(b)R_(a)R_(b)R_(c)R_(a)R_(b)R_(c)
\times R_(b)R_(a)R_(c)R_(b)R_(a)R_(b)R_(a)R_(c)R_(b)R_(a)=I,

where

I

is the identity transformation.

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(Solved): Prove Thomsen's Relation: for any lines a,b, and c, we have R_(c)R_(a)R_(b)R_(c)R_(a)R_(b)R_(a)R_(b ...