When do the distance and magnitude of displacement become equal?

A particle moves along a circular path of radius 7 cm. Estimate the distance covered and displacement when the particle (i) covers half circular path and (ii) completes the total circular path once.

What is the difference between distance travelled and displacement? What are the characteristics of displacement?

Under what condition is the magnitude of the difference of two vectors equal to their resultant ?

Under which condition will the magnitude of scalar sum be equal to the magnitude of vector sum ?

When will the magnitude of the resultant of two equal vectors be (i) sqrt(2) times and

When will the magnitude of the resultant of two equal vectors be (ii) sqrt(3) times the magnitude of each of them ?

State whether the displacement can be more than the total distance covered by a particle.