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Let A=[[0,2q,r] , [p,q,-r] , [p,-q,r]] I...

Let `A=[[0,2q,r] , [p,q,-r] , [p,-q,r]]` If `A A^T=I_3` then `|p|=`

A

`(1)/(sqrt(2))`

B

`(1)/(sqrt(5))`

C

`(1)/(sqrt(6))`

D

`(1)/(sqrt(3))`

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The correct Answer is:
A
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