If $M$ denotes the midpoint of the line segment joining $A(4, 5, -10)$ and $B(-1, 2, 1)$, then the equation of the plane passing through $M$ and perpendicular to $AB$ is:

  • A
    $\bar{r} \cdot (-5\hat{i} - 3\hat{j} + 11\hat{k}) + \frac{135}{2} = 0$
  • B
    $\bar{r} \cdot (\frac{3}{2}\hat{i} + \frac{7}{2}\hat{j} - \frac{9}{2}\hat{k}) + \frac{135}{2} = 0$
  • C
    $\bar{r} \cdot (4\hat{i} + 5\hat{j} - 10\hat{k}) + 4 = 0$
  • D
    $\bar{r} \cdot (-\hat{i} + 2\hat{j} + \hat{k}) + 4 = 0$

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