If the points \( a(\cos \alpha+i \sin \alpha), b(\cos \beta+i \sin ...

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If the points \( a(\cos \alpha+i \sin \alpha), b(\cos \beta+i \sin \beta) \) and \( c(\cos \gamma+i \sin \gamma) \) are collinear, then value of \( |z| \) where
\[
\begin{aligned}
z= & b c \sin (\beta-\gamma)+c a \sin (\gamma-\alpha) \\
& +a b \sin (\alpha-\beta)+3 i \text { is }
\end{aligned}
\]
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