Find the equation of the plane which contains two parallel lines given by
and![]()
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,



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33x – 99 – 3y – 6 – 9z = 0
33x – 3y – 9z – 105 = 0
11x – y – 3z = 35
Therefore, equation of plane is