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The number of distinct real values of β, for which the vectors

2i + j + k , i - β2 j + k and i + j - β2 k are coplanar, is :-

  1. 0
  2. 1
  3. 2
  4. 3

Rohit Rastogi , 15 Years ago
Grade
anser 1 Answers
Askiitians Expert Soumyajit IIT-Kharagpur

Last Activity: 15 Years ago

Dear Rohit Rastogi,

Ans:- CORRECT ANS IS 2 

Let the vectors are a,b,c

As they are coplanar and hence [abc]=0

Solving we get an equation of β which is satisfied by real values of β , iff β²=2

Hence β=+√2 or -√2

Hence 2 values of β are possible.

 

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Soumyajit Das IIT Kharagpur

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