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Question

Two bodies of mass $1 \mathrm{~kg}$ and $3 \mathrm{~kg}$ have position vectors $\hat{i}+2 \hat{j}+\hat{k}$ and $-3 \hat{i}-2 \hat{j}+\hat{k}$ respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :

$\hat{i}+2 \hat{j}+\hat{k}$
$-3 \hat{i}-2 \hat{j}+\hat{k}$
$-2 \hat{i}+2 \hat{k}$
$2 \hat{i}-\hat{j}+2 \hat{k}$

Solution

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