Find the equation of the line passing through the point P(4, 6, 2) and the point of intersection of the line x-1/3=y/2=z+1/7 and the plane x + y - z = 8.
Let x-1/3=y/2=z+1/7=λ ...............(i)
Coordinates of any general point on line (i) is of the form ≅ (1 + 3λ, 2λ, - 1 + 7λ) For point of intersection
Required equation of line passing through P (4, 6, 2) and Q (- 8, - 6, - 22) is:
