The position vector of a particle is r = (a cosωt)î + (a sinωt)ĵ. The velocity of the particle is

directed towards the origin
directed away from the origin
parallel to the position vector
perpendicular to the position vector

Correct answer: perpendicular to the position vector

Solution

The velocity vector is obtained by differentiating the position vector with respect to time. This results in a vector that is perpendicular to the position vector, as the dot product of the two is zero.

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