Q.

Let a and bbe two unit vectors such that the angle between them is π3. If λa+2b and 3aλb are perpendicular to each other, then the number of values of λ in [–1, 3] is :

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a

2

b

1

c

0

d

3

answer is D.

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Detailed Solution

 â. b^=12 Now (λa^+2b^)(3a^λb^)=03λa^a^λ2a^b^+6a^b^2λb^b^=03λλ22+32λ=0λ22λ6=0λ=1±7
number of values = 0

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