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Question

a=2ij+k,b=i+2j3k,c=3i+λj+5k are coplanar. Then find the value of λ

A
λ=4
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B
λ=4
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C
λ=7
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D
λ=7
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Solution

The correct option is B λ=4
Three vectors, a, b, c are coplanar if [abc]=0
or ∣ ∣2111233λ5∣ ∣=0
or 2(10+3λ)+1(5+9)+1(λ6)=0 ( expanding along first row.)
or 7λ+28=0λ=4

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