1.

Two blocks of mass `1kg` and `3 kg` have position v ectors ` hat(i) + 2 hat(j) + hat(k)` and `3 hat(i) - 2 hat(j) + hat(k)` , respectively . The center of mass of this system has a position vector.A. `- 2 hat(i) + 2 hat(k)`B. `-2 hat(i) - hat(j) + hat(k)`C. `2.5 hat(i) - hat(j) - hat(k)`D. `- hat(i) + hat(j) + hat(k)`

Answer» Correct Answer - C
`vec(R )_(c.m.) = (m_(1) vec(R ) + m_(2) vec (R ))/(m_(1) + m_(2))`
`= - 2.5 hat(i) - hat(j) + hat(k)`


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