$A=(-1,2,-3), B=(5,0,-6),$ $C=(0,4,-1)$ are the vertices of a triangle. The d.c’s of the internal bisector of  $\angle BAC$ are

• A

  $\left(\frac{{\displaystyle 25}}{{\displaystyle \sqrt{714}}},\frac{{\displaystyle -8}}{{\displaystyle \sqrt{714}}},\frac{{\displaystyle -5}}{{\displaystyle \sqrt{714}}}\right)$

• B

  $\left(\frac{{\displaystyle 5}}{{\displaystyle \sqrt{74}}},\frac{{\displaystyle 6}}{{\displaystyle \sqrt{74}}},\frac{{\displaystyle 8}}{{\displaystyle \sqrt{74}}}\right)$

• C

  $\left(\frac{{\displaystyle 25}}{{\displaystyle \sqrt{714}}},\frac{{\displaystyle 8}}{{\displaystyle \sqrt{714}}},\frac{{\displaystyle 5}}{{\displaystyle \sqrt{714}}}\right)$

• D

  $\left(\frac{{\displaystyle -5}}{{\displaystyle \sqrt{74}}},\frac{{\displaystyle 6}}{{\displaystyle \sqrt{74}}},\frac{{\displaystyle -8}}{{\displaystyle \sqrt{74}}}\right)$