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If bar(a), bar(b), bar(c) are non coplan...

If `bar(a), bar(b), bar(c)` are non coplanar vectors and `lambda` is a real number, then the vectors `bar(a)+2bar(b)+3bar(c), lambdabar(b)+4bar(c) and (2lambda-1)bar(c)` are non-coplanar for

A

All values of `lamda`

B

No value of `lamda`

C

All except two values of `lamda`

D

All except one values of `lamda`

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The correct Answer is:
C
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. Let bara,barb are two unit vectors such that bara.barb=0. If barc=xbar...

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  2. If bara, barb, barc are non - coplanar vectors and lamda is a real num...

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  3. If bar(a), bar(b), bar(c) are non coplanar vectors and lambda is a rea...

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  4. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

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  5. If bar(a^(1)),bar(b^(1)),bar(c^(1)) represents the reciprocal system o...

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  6. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

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  7. bara^(1)xxbarb^(1)+barb^(1)xxbarc^(1)+barc^(1)xxbara^(1)=

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  8. If barr is any vector then barr =

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  9. Arrange the following in the descending order of magnitude (A) [I...

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  10. A : If bara, barb, barc form a left handed orthogonal system such that...

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  11. If bari,barj,bark are orthogonal unit vector triad, then bari xx(barrx...

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  12. bari xx [(baraxxbarb)xxbari] +barj xx [(baraxx barb)x barj] + bark xx ...

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  13. bara, barb, barc are three unit vectors, barb is not parallel to barc ...

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  14. Let bara,barb and barc be non-zero vectors such that (baraxxbarb)xxbar...

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  15. If bara is a unit vector then baraxx{baraxx(baraxxbarb)}=

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  16. baraxx(barbxxbarc)+barbxx(barcxxbara)+barcxx(baraxxbarb)=

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  17. If (baraxxbarb)xxbarc=baraxx(barbxxbarc) where bara,barb,barc are any ...

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  18. If bara, barb are two non-zero vectors and c is nonzero scalar, and ba...

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  19. bari, barj, bark is a right handed orthonormal system of vectors and b...

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  20. The vectors baraxx(barbxxbarc),barbxx(barcxxbara).barcxx(baraxxbarb) a...

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