Which of the following is incorrect about non-uniform circular motion \( \left(a_{c}=\right. \) ...

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Which of the following is incorrect about non-uniform circular motion \( \left(a_{c}=\right. \) centripetal acceleration, \( a_{t}= \) tangential acceleration)?
(1) \( \vec{v} \cdot \vec{\omega}=0 \)
(2) \( \vec{a}_{c} \cdot \vec{v}=0 \)
(3) \( \vec{\omega} \cdot \vec{a}_{c}=0 \)
(4) \( \vec{v} \cdot \vec{a}_{t}=0 \)
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