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Distinguish between average speed and av...

Distinguish between average speed and average velocity of a particle.

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Read each statement below carefully and state with reasons , if it is true of false : (a) The magnitude of a vector is always a scalar , (b) each component of a vector is always a scalar , (c ) the total path length is always equal to the magnitude of the displacement vector of a particle . (d) the average speed of a either greater or equal to the magnitude of average velocity of the particle over the same interval of time , (e ) Three vectors not lying in a plane can never add up to give a null vector .

Under what conditions is the magnitude of average velocity of an object equal to its average speed?