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Q.

If a, b, c are non coplanar vectors and λ is a real number, then the vectors a¯+2b¯+3c¯,λb¯+4c¯ and (2λ1)c¯ are non-coplanar for

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a

All values of λ

b

All except three values of λ

c

All except two values of λ

d

No value of λ

answer is C.

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Detailed Solution

a¯+2b¯+3c¯,λb¯+4c¯,(2λ1)c¯ are non coplanar vectors  1230λ400(2λ1)0
λ(2λ1)0λ0,12All values except, 2 values of λ

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