Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
and 
are unit vectors such that 
= 1 and 
, then
A
are non-coplanar
B
are non-coplanar
C
are non-parallel
D
are parallel and 
are parallel
Text Solution
Verified by ExpertsThe correct answer is:
C
Since 
⇒ angle between 
and 
is 60º
Let angle between 
and 
be θ 1 , 
and 
be θ 2 and 
and 
be θ .
= 1
⇒ sin θ 1 . sin θ 2 . cos θ = 1
⇒ θ 1 = 90º, θ 2 = 90º , θ = 0º
⇒ 
so 
= 
Taking dot product with 
= 
⇒ 
⇒ 
are coplanar vectors
Again, 
= k 
Taking dot product with 
= k 
⇒ 
⇒ 
are coplanar vectors
Hence, 
are coplanar vectors
From figure, clearly, 
and 
are non-parallel vectors
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