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The position vector of a particle is giv...

The position vector of a particle is given by `vec(r ) = k cos omega hat(i) + k sin omega hat(j) = x hat(i) + yhat(j)`, where `k` and `omega` are constants and `t` time. Find the angle between the position vector and the velocity vector. Also determine the trajectory of the particle.

A

directed towards the origin

B

directed away from the origin

C

parallel to the position vector

D

perpendicular to the position vector

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