wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Using vector method, if Q is the point of concurrence of the medians of the triangle ABC,then prove that QA+QB+QC=0

Open in App
Solution

Let a,b,c be the position vector of vertices
A,B.C respectively. then position vector of
centroid Q is a+b+c3
LHS =QA+QB+QC
=(QAOQ)+(OBOQ)+(OCOQ)
=OA+OB+OC3OQ
=a+b+c3(a+b+c3)
=a+b+cabc=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vector Addition
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon