Answer :

Two lines and

are perpendicular to each other if


a1a2 + b1b2 + c1c2 = 0


Given -



comparing with



we get -


x1 =1, y1 = 2, z1 = 3


& a1 = - 3, b1 = 2k, c1 = 2


Similarly,



comparing with



we get -


x2 = 1, y2 = 2, z2 = 3


& a2 = 3k, b2 = 1, c2 = -5


Since the two lines are perpendicular,


a1a2 + b1b2 + c1c2 = 0


(-3) × 3k + 2k × 1 + 2 × (-5) = 0


-9k + 2k - 10 = 0


-7k = 10


k = -10/7


Hence, the value of k is -10/7.


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 value ofMathematics - Board Papers

Show that lines <Mathematics - Board Papers

Find the value ofMathematics - Board Papers

Find the value ofMathematics - Board Papers

Write the directiMathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

What is the angleRS Aggarwal - Mathematics

Find the angle beRS Aggarwal - Mathematics