Q. 115.0( 1 Vote )

The position vectors of points A, B and C are and respectively. If C divides the lien segment joining A and B in the ratio 3 : 1, find the values of λ and μ.

Answer :

Let the position vectors of points A, B and C be, and respectively.


Given:, and


C divides AB internally in the ratio 3:1.



Recall the position vector of point P which divides AB, the line joining points A and B with position vectors and respectively, internally in the ratio m : n is



Here, m = 3 and n = 1.




We have, and






By comparing both sides, we get 36 + λ = –44


λ = –44 – 36


λ = –80


We also have 3μ + 3 = –12


3μ = –15


μ = –5


Thus, λ = –80 and μ = –5


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Determinants of Matrices of different orderDeterminants of Matrices of different orderDeterminants of Matrices of different order59 mins
Battle of Graphs | various functions & their GraphsBattle of Graphs | various functions & their GraphsBattle of Graphs | various functions & their Graphs48 mins
Triangular Matrices & operations on matricesTriangular Matrices & operations on matricesTriangular Matrices & operations on matrices58 mins
Know About finding the Adjoint & Inverse Of MatrixKnow About finding the Adjoint & Inverse Of MatrixKnow About finding the Adjoint & Inverse Of Matrix46 mins
Complex Numbers | Full chapter QuizComplex Numbers | Full chapter QuizComplex Numbers | Full chapter Quiz55 mins
Know All About Types of RelationsKnow All About Types of RelationsKnow All About Types of Relations53 mins
Interactive Quiz on Properties of DeterminantsInteractive Quiz on Properties of DeterminantsInteractive Quiz on Properties of Determinants43 mins
Types of Matrices & PropertiesTypes of Matrices & PropertiesTypes of Matrices & Properties51 mins
Determining a determinantDetermining a determinantDetermining a determinant63 mins
Lecture on Product of DeterminantsLecture on Product of DeterminantsLecture on Product of Determinants58 mins
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