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 Exercise [11.04] 
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Joined: 12 Mar 2008, 10:57
Posts: 69
Location: India
Post Exercise [11.04]
q=t+ui+vj+wk
iqi=iti+iuii+ivji+iwki=tii+uiii+viji+wiki=-t-ui+vj+wk(Using ij=-ji and ii=-1,etc.)
Similarly,
jqj=-t+ui-vj+wk
kqk=-t+ui+vj-wk
Now,
-1/2(q+iqi+jqj+kqk)=-1/2(-2t+2ui+2vj+2wk)=t-ui-vj-wk
=\overline{q}


26 May 2008, 10:52
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