Two bodies of mass \( 1 \) kg and \( 3 \) kg have position vectors \( \hat{i} + 2\hat{j} + \hat{k} \) and \( -3\hat{i} - 2\hat{j} + \hat{k} \) respectively. The magnitude of the position vector of the center of mass of this system will be similar to the magnitude of which vector?
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The center of mass position is given by \( \vec{r}_{{com}} = \frac{\sum m_i \vec{r}_i}{\sum m_i} \). To find the correct vector, compare magnitudes.