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Q.

 If a, b, c are non - coplanar vectors and λ is a real number then

[λ(a+b)  λ2b  λc] = [a b+c b] for

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a

Exactly one value of λ
 

b

Exactly three values of λ

c

No value of λ
 

d

Exactly two values of λ

answer is B.

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Detailed Solution

a b c λλ00λ2000λ=[a b c] 100011010λ (λ3-0)=1(0-1)

λ4=-1   no value of λ

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