Given : Equations of lines –

Line 1 :

Line 2 :

To Find : Equation of plane.

Formulae :

Equation of plane :

The equation of plane containing two parallel lines

& is given by,

Answer :

Given lines –

Line 1 :

Line 2 :

Here, x₁ = 3 , y₁ = -2 , z₁ = 0 , a= 1 , b = -4 , c = 5

x₂ = 4 , y₂ = 3 , z₂ = 2

Therefore, equation of plane containing line 1 & line 2 is given by,

33x – 99 – 3y – 6 – 9z = 0

33x – 3y – 9z – 105 = 0

11x – y – 3z = 35

Therefore, equation of plane is