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Find the direction cosins of the striaght line x=2y=5z

Answers (1)

D Deependra Verma

$x=2y=5z$
We are given the line $fracx1=fracyfrac12=fraczfrac15$
Hence $(1,frac12,frac15)$ are the set of the direction ratios of the line.
Now
$1^2+(frac12)^2+(frac15)^2=1+frac14+frac125=frac129100$
To get the direction cosines we have to divide the direction ratios by $sqrtfrac129100$
Hence the direction cosines are $frac1sqrtfrac129100$ , $fracfrac12sqrtfrac129100$ , $fracfrac15sqrtfrac129100$

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