The position co-ordinates of a particle moving in a 3-D coordinate system is given by \( x=a \cos \omega t ; y=a \sin \omega t \) and \( z=a \omega t \)
The speed of the particle is:
[JEE (Main) 2019; 4/120,
(1) \( \sqrt{3} a \omega \)
(2) \( 2 a \omega \)
(3) \( \sqrt{2} a \omega \)
(4) \( a \omega \)