If a line makes angles $90^{\circ}, 135^{\circ},$ and $45^{\circ}$ with the $x, y,$ and $z$-axes respectively,find its direction cosines.

  • A
    $0, -\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$
  • B
    $1, -\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$
  • C
    $0, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$
  • D
    $1, \frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}$

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