A straight line passes through the point (2, –1, –1). It is parallel to the plane4x + y + z + 2 = 0 and is perpendicular to the linex/1=y/(-2) =(z-5)/1Find the equations of the straight line ?

Dear Sagar,

Let direction cosines of straight line be l, m, n

                              then :    4l + m + n = 0

                                          and for that of the given equation is

                                       :    l – 2m + n = 0

 thus ,

             l/3 = m/-3= n/-9  →  l/-1=m/-3=n/3.

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