Answer :

Given : Equations of lines –


Line 1 :


Line 2 :


To Prove : Line 1 & line 2 are coplanar.


To Find : Equation of plane.


Formulae :


1) Coplanarity of two lines :


If two lines are given by,


and


, then these lines are coplanar, if



2) Equation of plane :


The equation of plane containing two coplanar lines


& is given by,



Answer :


Given lines –


Line 1 :


Line 2 :


Here, x1 = 1 , y1 = 3 , z1 = 0 , a1 = 2 , b1 = -1 , c1 = -1


x2 = 4 , y2 = 1 , z2 = 1 , a2 = 3 , b2 = -2 , c2 = -1


Now,






= - 2



Hence, given two lines are not coplanar.


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