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 position vector of centre of mass of this system will be similar to the magnitude of vector.

  • [JEE MAIN 2022]
  • [AIPMT 2009]
  • A
    $\hat{i}-2 \hat{j}+\hat{k}$
  • B
    $-3 \hat{i}-2 \hat{j}+\hat{k}$
  • C
    $-2 \hat{i}+2 \hat{k}$
  • D
    $-2 \hat{i}-\hat{j}+2 \hat{k}$

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