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The number of distinct real values of la...

The number of distinct real values of `lambda` for which the vectors `bara=lambda^3overset(^)i+overset(^)k,barb=overset(^)i-lambda^3overset(^)j and barc=overset(^)i+(2lambda-sinlambda)overset(^)j-lambdaoverset(^)k` are coplanar is

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

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  2. The number of distinct real value of lambda, for which the vector -lam...

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  3. The number of distinct real values of lambda for which the vectors bar...

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  4. If bara,barb,barc are non coplanar vectros and lamda is a real number ...

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  5. If the origin and the point p(2,3,4),q(,1,2,3)R (x,y,z) are coplan...

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  6. A vector perpendicular to 2overset(^)i+overset(^)j+overset(^)k and cop...

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  7. Given three arbitary vectors bara,barb,barc, then vectors baralpha=5ba...

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  8. If barx.bara=0,barx.barb=0 and barx.barc=0 for some non-zero vectors x...

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  9. which of the following expression are meaningful?

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  10. Out of the following which one is not true?

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  11. For three vectors vecu,vecv,vecw which of the following expressions is...

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  12. bara.(baraxxbarb)=

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  13. If bara,barb,barc are non-coplaner vectors, then (bara.barbxxbarc)/(...

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  14. If bara,barb and barc are non-coplanar, then the value of bara.{(barbx...

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  15. bara.[barb+barc)xx(bara+barb+barc)] is equal to

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  16. (bara+barb).(barb+barc)xx(bara+barb+barc)=

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  17. If bara=(1)/(sqrt10)(3overset(^)i+overset(^)k),barb=1/7(2overset(^)i+3...

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  18. If barp=(barbxxbarc)/(bara" "barb" "barc),barq=(barcxxbara)/(bara" "ba...

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  19. If vecu, vecv, vecw are three non-coplanar vectors, the (vecu+vecv-vec...

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  20. If bara,barb,barc are three non-coplanar vectors and barp,barq,barr ar...

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