Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Examine for coplanarity of the following sets of points
A
4 
+ 8 
+ 12 
, 2 
+ 4 
+ 6 
, 3 
+ 5 
+ 4 
, 5 
+ 8 
+ 5 
.
+ 8 + 12 , 2 + 4 + 6 , 3 + 5 + 4 , 5 + 8 + 5 .
B
3 
+ 2 
– 5 
, 3 
+ 8 
+ 5 
, –3 
+ 2 
+ 
, 
+ 4 
– 3 
. Where 
, 
, 
are noncoplanar
+ 2 – 5 , 3 + 8 + 5 , –3 + 2 + , + 4 – 3 . Where , , are noncoplanar
Text Solution
Verified by ExpertsThe correct answer is:
C
Coplanar Non-coplanar
Sol. Let 
; 
; 
; 
; 
; 
= 
= [– 2 (1 + 6) + 4(1 + 4) – 6(3 – 2)] = – 14 + 20 – 6 = 0
Hence coplanar
Using these 4 points let us create any 3 vectors 
check coplanarity of these vectors
= 
≠ 0 hence non coplanar
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