A particle moving along a circular path. The angular \( \mathrm{P} \) velocity, linear velocity,...

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A particle moving along a circular path. The angular
\( \mathrm{P} \) velocity, linear velocity, angular acceleration and

W centripetal acceleration of the particle at any instant respectively are \( \vec{\omega}, \vec{v}, \vec{\alpha}, \vec{a}_{c} \). Which of the following relation is/are correct.
(i) \( \vec{\omega} \perp \vec{v} \)
(ii) \( \vec{\omega} \perp \vec{\alpha} \)
(iii) \( \vec{v} \perp \vec{a}_{c} \)
(iv) \( \vec{\omega} \perp \vec{a}_{c} \)
(1) a, b, d
(2) b, c, d
(3) a, b, c
(4) a, c, d
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