If three vectors along coordinate axis represent the adjacent sides of a cube of length $b$, then the unit vector along its diagonal passing through the origin will be

  • A
    $\frac{\hat{ i }+\hat{ j }+\hat{ k }}{\sqrt{2}}$
  • B
    $\frac{\hat{ i }+\hat{ j }+\hat{ k }}{\sqrt{36}}$
  • C
    $\hat{ i }+\hat{ j }+\hat{ k }$
  • D
    $\frac{\hat{ i }+\hat{ j }+\hat{ k }}{\sqrt{3}}$

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