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If the vectors bara = (lambda log(2) x) ...

If the vectors `bara = (lambda log_(2) x) bari - 6barj + 3bark and barb = (log_(2) x)bari - 2barj + (2lambda log_(2) x) bark` contain an obtuse angle for all `xgt0 , " then find the range of " lambda`.

A

`(0,4/3)`

B

`(-4/3,oo)`

C

`(-4/3,0)`

D

`(-oo,-4/3)`

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Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. The vectors 2bari -mbarj+3mbark and (1+m) bari -2m barj+bark include a...

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  2. If the angle between the vectors bara =lambdabari-7barj+3bark,barb=lam...

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  3. If the vectors bara = (lambda log(2) x) bari - 6barj + 3bark and barb ...

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  4. The value of 'x' for which the angle between bara=2x^(2)bari+4barxj+ba...

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  5. A vector bara of magnitude 50 is collinear with the vector 6bari -8bar...

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  6. A=(2,3,5), B(-1,3,2), C=(lambda,5,mu) are the vertices of a triangle. ...

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  7. The vector bara,barb,barc are equal in length and pair wise make equal...

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  8. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  9. If bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark ...

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  10. If barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is ...

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  11. If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(ba...

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  12. If kbara = 3barb+2barc, bara=-2barb+5barc " and if " barb and barc hav...

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  13. bara,barb,barc and bard are the position vectors of four coplanar poin...

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  14. In a Delta ABC, bar(OA)= bara, bar(OB)=barb, bar(OC) = barc. if (bar...

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  15. ABC is an equitateral triangle of side 'a'. Then bar(AB).bar(BC)+bar...

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  16. In Delta ABC , angleABC=90^(@). If P and Q are points of trisection o...

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  17. A parallogram constructed on the vector bar(a) =3barp-barq and bar(b)...

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  18. The length of the projection of the vector (1,-2,-1) on the vector joi...

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  19. The magnitude of the projection of the vector bara=4bari-3barj+2bark o...

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  20. If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane....

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