Question
Find the equation of the plane through P (1, 4, – 2) that is parallel to the plane – 2 x + y – 3 z = 0.
Solution
Equation of any plane parallel to the plane – 2x + y– 3 z = 0 is –2x + y –3 z = k .... (1)
∴ it passes through P (1,4, - 2)
∴ –2 + 4 + 6 = k ⇒ k = 8
Putting k = 8 in (1), we get, – 2x + y–3 z = 8 which is the required equation.
