, , The centre of mass of a system of three particles of masses 1 g, 2 g and 3 g is taken as t...

, , The centre of mass of a system of three particles of masses 1  g, 2  g and 3  g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4  g such that the centre of mass of the four particle system lies at the point (1,2,3,, is α(î+2 ĵ+3 k̂), where α is a constant. The value of α is :-
(1) 10/3
(2) 5/2
(3) 1/2
(4) 2/5,

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[SudharssanKK]

Sir in other websites the solutions are incorrect.
They have taken the distance of first 3 masses from the COM as 0. But your solution is perfectly correct and very clear. Thank you