Answers

  • Brainly User
2014-12-21T17:37:47+05:30
This equation can be written as \frac{x}{1}=\frac{y}{\frac{1}{2}}=\frac{z}{\frac{1}{5}} where (1, \frac{1}{2}, \frac{1}{5})  are direction ratios.
Here, \sqrt{1^{2}+(\frac{1}{2})^{2}+(\frac{1}{5})^{2}}=\frac{\sqrt{129}}{10}.
Hence, direction cosines are (\frac{10}{\sqrt{129}},\frac{5}{\sqrt{129}},\frac{2}{\sqrt{129}}).
1 5 1
2014-12-21T21:35:01+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
take a point P  on the straight line  L  x = 2 y = 5 z.

   Take x = 10  (lcm of 2 and 5)      y = 5 and z = 2.          P = (10, 5 , 2)

   this straight line L  goes through the origin O.
   the distance  OP = r  =  √(10²+5²+2²) = √129

   Direction cosines are   (cos α,  cos β,  cos γ)  = ( x/r , y/r,  z/r )
                    = ( 10/√129,  5/√129, 2/√129)

1 5 1