Let 
and 
be three non-zero vectors such that no two of these are collinear. If the vector 
is collinear with 
and 
is collinear with 
( 
being some non-zero scalar) then 
equals
Text Solution
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If any two vectors 
and 
are collinear, then 
( 
is scalar)
Given,
and 
be three non-zero vectors such that no two of these are collinear
is collinear with 
is collinear with 
Finding 
Add 
in equation 
Multiplying by 2 and then 
in equation (ii)
Equating equation (iii) and (iv)
Since, 
and 
are non-collinear.
Therefore, 
substitute this value in equation (iii) or (iv)
Then, 
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