Question

find the direction cosins of the straight line x = 2y = 5 y​

Answer 1

Answer:

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)

Step-by-step explanation:

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