If z and ω are two complex numbers such that |zω| = 1 and \({\rm{arg\;}}\left( z \right) - {\rm{arg\;}}\left( {\rm{\omega }} \right) = \frac{\pi }{2}\) then:

• A. \(\bar z{\rm{\omega }} = i\)
• B. \(z{\rm{\bar \omega }} = \frac{{ - 1 + i}}{{\sqrt 2 }}\)
• C. \(\bar z{\rm{\omega }} = - i\)
• D. \(z{\rm{\bar \omega }} = \frac{{1 - i}}{{\sqrt 2 }}\)