If a line makes an angle of $30^{\circ}, 60^{\circ}, 90^{\circ}$ with the positive direction of $x, y, z$-axes,respectively,then find its direction cosines.

  • A
    $\left(\frac{\sqrt{3}}{2}, \frac{1}{2}, 0\right)$
  • B
    $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}, 0\right)$
  • C
    $\left(\frac{\sqrt{3}}{2}, 0, \frac{1}{2}\right)$
  • D
    $\left(0, \frac{1}{2}, \frac{\sqrt{3}}{2}\right)$

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