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Question
If 
are non-coplanar vectors and λ is a real number, then the vectors 
and 
are non-coplanar for
are non-coplanar vectors and λ is a real number, then the vectors and are non-coplanar forOptions
A.all values of λ
B.all except one value of λ
C.all except two values of λ
D.no value of λ
Solution
Condition for given three vectors to be coplanar is 
= 0 ⇒ λ = 0, 1/2.
Hence given vectors will be non coplanar for all real values of λ except 0, 1/2.
= 0 ⇒ λ = 0, 1/2.Hence given vectors will be non coplanar for all real values of λ except 0, 1/2.
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