How does centre of mass of a system of particles move ?

Define centre of mass of a system of particles.

The centre of mass of a system of particles moves as if all the _________ of the system was concentrated at the _________ of mass and all the external forces acting on the system were applied directly at this point.

Does centre of mass of a system of two particles lie on the line joining the particles ?

Give the expression for the centre of mass of a system of particles along any one axis.

Write an expression for the velocity of the centre of mass of a system of particles.

Obtain an expression for the position vector of centre of mass of a system of n particles.

Select the WRONG statement. The location of centre of mass of a system of particles