The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is

  • A

    $\frac{1}{7}(3\hat i + 6\hat j - 2\hat k)$

  • B

    $\frac{1}{7}(3\hat i + 6\hat j + 2\hat k)$

  • C

    $\frac{1}{{49}}(3\hat i + 6\hat j - 2\hat k)$

  • D

    $\frac{1}{{49}}(3\hat i - 6\hat j + 2\hat k)$

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