Q. 15.0( 1 Vote )

Show that the lin

Answer :

Given : Equations of lines -




To Prove : are coplanar.


To Find : Equation of plane.


Formulae :


1) Cross Product :


If are two vectors




then,



2) Dot Product :


If are two vectors




then,



3) Coplanarity of two lines :


If two lines are coplanar then



4) Equation of plane :


If two lines are coplanar then equation of the plane containing them is



Where,



Answer :


Given equations of lines are




Let,


Where,






Now,





Therefore,



= 0 + 4 + 3


= 7


……… eq(1)


And



= - 2 + 12 – 3


= 7


……… eq(2)


From eq(1) and eq(2)



Hence lines are coplanar.


Equation of plane containing lines is



Now,



From eq(1)



Therefore, equation of required plane is






Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the equationMathematics - Board Papers

Show that the linMathematics - Board Papers

If lines <sMathematics - Board Papers

Let <span lang="EMathematics - Board Papers

Prove that the liRS Aggarwal - Mathematics

Prove that the liRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics