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Q.

For what value of λ the vectors a→=i^+2j^−k^,b→=2i^−j^+k^ and c→=λi^+j^+2k^ are coplanar,

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a

12

b

14

c

13

d

9

answer is C.

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Detailed Solution

Vector a→=i^+2j^−k^,b→=2i^−j^+k^ ,c→=λi^+j^+2k^ are coplanar⇒ 12−12−11λ12=0 or λ−3+2(−5)=0 or λ=13

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