If the lines given by $\bar{r} = 2 \hat{i} + \lambda(\hat{i} + 2 \hat{j} + m \hat{k})$ and $\bar{r} = \hat{i} + \mu(2 \hat{i} + \hat{j} + 6 \hat{k})$ are perpendicular,then the value of $m$ is:

  • A
    $\frac{3}{2}$
  • B
    $\frac{-3}{2}$
  • C
    $\frac{2}{3}$
  • D
    $\frac{-2}{3}$

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