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If the vectors `aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+boverset(^)j+overset(^)k and overset(^)i+overset(^)j+coverset(^)k` are coplanar `(a ne b ne c ne 1)`, then the value of `abc-(a+b+c)=`

A

2

B

`-2`

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. If the point having the position vectors 3overset(^)i-2overset(^)j-ove...

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  2. If bara,barb and barc are non-coplanar vectors and the four points wi...

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  3. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

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

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

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

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

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

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

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

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  11. which of the following expression are meaningful?

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

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

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  14. bara.(baraxxbarb)=

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

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

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

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

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

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

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