`" If "|{:(sin theta cos phi,,sin theta sin phi,,cos theta),(cos theta cos phi,, cos theta sin phi,,-sin theta),(-sin theta sin phi,,sin theta cos phi
`" If "|{:(sin theta cos phi,,sin theta sin phi,,cos theta),(cos theta cos phi,, cos theta sin phi,,-sin theta),(-sin theta sin phi,,sin theta cos phi,,theta):}|`then
A. `Delta ` is independent of 0
B. `Delta` is independent of `phi`
C. `Delta `is a constant
D. `(dDelta)/(d0)]_(0=pi//2)=0`
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Correct Answer - B::D
applying `C_(1) to C_(1) - (cot phi) C_(2) ` we get
`Delta =|{:(0,,sin 0 sin phi,,cos 0),(0,,cos 0 sin phi,,-sin 0),(-sin 0 // sin phi,,sin 0 cos phi ,,0):}|`
`=-(sin 0)/(sin phi) [-sin phi sin^(2) 0 - cos^(2) 0 sin phi]`
[expanding along `C_(1)`]
=sin 0 which is independent of `phi`
`" Also " .(dDelta)/(d0) =cos 0 rArr (dDelta)/(d0) ]_(0=pi//2) = cos (pi//2) =0`
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