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The number of distinct real values of β, for which the vectors -β2i + j + k , i - β2 j + k and i + j - β2 k are coplanar, is :- 0 1 2 3
The number of distinct real values of β, for which the vectors
-β2i + j + k , i - β2 j + k and i + j - β2 k are coplanar, is :-
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. Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best Rohit Rastogi !!! Regards, Askiitians ExpertsSoumyajit Das IIT Kharagpur
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.
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation.
All the best Rohit Rastogi !!!
Regards,
Askiitians ExpertsSoumyajit Das IIT Kharagpur
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