In circular motion, what are the possible values (zero, positive or negative) of the following:
(a) `omega.v` (b) `v.a`, (c) omega.alpha`

Explanation

(a) `v` lies in the plane of circle and `omega` is always perpendicular to this plane.
`:. Omega bot omega`
Hence,. `omega.v` is always zero.
(b) `v` and `a` both lie in the plane of circle and the angle between these two vectors may be acute (when speed is increasing) obtuse (when speed is decreasing) or `90^(@)` (when speed is consants)
(c) `omega` and `alpha` either parallel `(theta=0^(@))` between `omega` and `alpha`) or antiparallel `(theta=180^(@))`. in uniform circular motion, `alpha` has zero magnitude. hence,. `omega. alpha` may be positive, negative or zero.