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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  2λ1c¯ are non – coplanar for

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a

all except two values of   λ

b

no value of  λ

c

all values of  λ

d

all except one value of  λ

answer is C.

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Detailed Solution

1230λ4002λ10λ0,λ12

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If  a→,b→,c→ are non-coplanar vectors and  λ  is a real number, then the vectors a¯+2b¯+3c¯,λb¯+4c¯  and  2λ−1c¯ are non – coplanar for