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

Using distance formula show that the points P(2,4,6),Q(2,2,2) and R(6,10,14) are collinear.

Open in App
Solution

PQ=(2+2)2+(4+2)2+(6+2)2 =(16+36+64) =229

PR=(26)2+(410)2+(614)2 =(16+36+64) =229

QR=(26)2+(210)2+(214)2 =(64+144+256) =429

Since, QR=PQ+PR
Therefore, the given points are collinear.

flag
Suggest Corrections
thumbs-up
9
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon