Answer :

Given :


Equation of line :


Equation of plane : 3x – y – 2z = 7


To Find :


Formulae :


1) Parallel vector to the line :


If equation of the line is then,


Vector parallel to the line is given by,



2) Normal vector to the plane :


If equation of the plane is ax + by + cz = d then,


Vector normal to the plane is given by,



3) Cross Product :


If are two vectors




then,



Answer :


For given equation of line,



Parallel vector to the line is



For given equation of plane,


3x – y – 2z = 7


normal vector to the plane is



As given line and plane are perpendicular to each other.





Comparing coefficients of on both sides



3λ = -6


λ = -2


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 :

If lines <span laMathematics - Board Papers

Find the coordinaMathematics - Board Papers

State True or FalMathematics - Exemplar

The sine of the aMathematics - Exemplar

The plane 2x – 3yMathematics - Exemplar

Mark against the RS Aggarwal - Mathematics

Mark against the RS Aggarwal - Mathematics