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

Find the coordinates of the points which trisect the line segment PQ formed by joining the points P(4,2,6) and Q(10,16,6)

Open in App
Solution

Let A and B be the points of trisection of the segment PQ, then
PA=AB=BQ2PA=AQ
PAAQ=12
A divides the line segment PQ in the ratio 1:2 internally.
A=(1×10+2×41+2,1×16+2×21+2,1×6+2×61+2)
=(10+83,16+43,6123)
=(183,123,63)
A=(6,4,2)
Also,PA=AB=BQPB=2BQ
PBBQ=21
B divides the line segment PQ in the ratio 2:1 internally.
B=(2×10+1×42+1,2×16+1×22+1,2×6+1×62+1)
=(20+43,32+23,1263)
=(243,303,63)
B=(8,10,2)

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