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Question

The vectors a=λ^i+^j+2^k,b=^i+λ^j^k and c=2^i^j+λ^k,(λZ) are coplanar, then the value of λ is

A
0
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B
1
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C
2
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D
1
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Solution

The correct option is C 2
a,b,c are coplanar.
a(b×c)=0

∣ ∣λ121λ121λ∣ ∣=0

λ36λ4=0(λ+2)(λ22λ2)=0
λ=2,1±3

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