Vectors 3 Question 5

5. The number of distinct real values of λ, for which the

vectors λ2i^+j^+k^,i^λ2j^+k^ and i^+j^λ2k^ are coplanar, is

(2007, 3M)

(a) 0

(b) 1

(c) 2

(d) 3

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Answer:

Correct Answer: 5. (c)

Solution:

  1. Since, given vectors are coplanar

λ63λ22=0(1+λ2)2(λ22)=0λ=±2



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