The equation of given plane is
x – y + z = 5 ...(1)
The equation of the line through P (1,–2, 3) parallel to the line are
Any point on it is Q (2 r + 1, 3 r –2, – 6 r + 3)
Let it lie on plane (1)
∴ 2r + 1 – 3r + 2 – 6r + 3 = 5
Find the distance of the point (2, 3, 4) from the plane 3x + 2y + 2z + 5 = 0, measured parallel to the line