Two forces acting on point $A$ along their side and having magnitude reciprocal to length of side then resultant of these forces will be proportional to

821-15

  • A

    $\frac {1}{BC}$

  • B

    $\frac {1}{AD}$

  • C

    $\frac {1}{BD}$

  • D

    $\frac {1}{CD}$

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  • [AIIMS 2019]

$\overrightarrow A = 2\hat i + \hat j,\,B = 3\hat j - \hat k$ and $\overrightarrow C = 6\hat i - 2\hat k$.Value of $\overrightarrow A - 2\overrightarrow B + 3\overrightarrow C $ would be