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Question

The vectors a=^i+^j+m^k, b=^i+^j+(m+1)^k and c=^i^j+m^k are coplanar, if m is equal to


A

1

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B

4

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C

3

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D

No real value

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Solution

The correct option is D

No real value


Since the vectors are coplanar, then

∣ ∣11m11m+111m∣ ∣ =0

m+m+1(mm1)+m(11)=0

2=0, which is not possible.
Hence, no real value of m is possible.


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