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In three dimensional system, the position coordinates of a particle (in motion) are given below
\[
\begin{array}{c}
x=a \cos \omega t \\
y=a \sin \omega t \\
z=a \omega t
\end{array}
\]
The velocity of particle will be
(a) \( \sqrt{2} a \omega \)
(b) \( 2 a \omega \)
(c) \( a \omega \)
(d) \( \sqrt{3} a \omega \)
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