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The centre of mass of a system of three particles of masses 1 gm, 2 gm and 3 gm is taken as the
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The centre of mass of a system of three particles of masses 1 gm, 2 gm and 3 gm is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 49 such that the centre of mass of the four particle system lies at the point (1, 2,3,) is (i +2j+ 3k) , where a is a constant. The value of is :-
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