Given four non zero vectors 
. The vectors 
are coplanar but not collinear pair by pair and vector 
is not coplanar with vectors 
and 
, if 
then m – n is :
Text Solution
Verified by Experts2
(2)
Sol. 
Angle between vector 
remains same even if we presume them as unit vector. Here for sake of convinience let 
are unit vectors.
= 
= 
.............(1) ; 
= 
............(2)
= cos α ...........(3) ; 
= cos β ...........(4)
also 
= λ 
Since 
is presumed as unit vector
⇒ 
= 1
or 
⇒ λ = 1
∴ 
⇒ 
again 
= 
cos θ = cos β – cos α θ = cos –1 (cos β – cos α )
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