Answer :

Given : equations of perpendicular planes-


2x – 5y + kz = 4


x + 2y – z = 6


To Find : k


Formulae :


Normal vector to the plane :


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


Vector normal to the plane is given by,



Answer :


For given planes –


2x – 5y + kz = 4


x + 2y – z = 6


normal vectors are




As given vectors are perpendicular, hence their normal vectors are also perpendicular to each other.




(2×1) + (-5×2) + (k×(-1)) = 0


2 – 10 – k = 0


- 8 – k = 0


k = -8


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

Find the coordinaMathematics - Board Papers

Find the distanceMathematics - Board Papers

Find the coordinaMathematics - Board Papers

Find the CartesiaMathematics - Board Papers

Find the coordinaMathematics - Board Papers