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

Answers (1)

R Ravindra Pindel

Given $\alpha =90^{\circ},\beta =135^{\circ},\gamma =45^{\circ}$

So, Direction cosines are $\alpha$ $\beta$ $\gamma$

$(\cos90^{\circ},\, \cos 135^{\circ},\, \cos 145^{\circ})$

$\cos 90=0,\, \cos 135=\cos(180-45)=\frac{1}{\sqrt{2}},\, \cos 45=\frac{1}{\sqrt{2}}$

$\Rightarrow \left ( 0,\frac{-1}{\sqrt{2}},\frac{1}{\sqrt{2}} \right )$

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