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Question

The sum of the distinct real values of μ, for which the vectors, μ^i+^j+^k,^i+μ^j+^k,^i+^j+μ^k are co-planer, is :

A
2
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B
0
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C
1
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D
3
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Solution

The correct option is B 1
∣ ∣ ∣μ111μ111μ∣ ∣ ∣=0
μ(μ21)1(μ1)+1(1μ)=0

μ3μμ+1+1μ=0
μ33μ+2=0

μ313(μ1)=0
μ=1,μ2+μ2=0

μ=1,μ=2

sum of distinct solutions =1

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