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If bara, barb, barc are three non-coplan...

If `bara, barb, barc` are three non-coplanar vectors represented by concurrent edges of a parallelopiped of volume 4 cu. units then `(bara+barb).(barbxxbarc)+(barb+barc).(barcxxbara)+(barcxxbara).(baraxxbarb)`=

A

12

B

4

C

`pm12`

D

0

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Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. The value of 'a' so that the volume of parallelopiped formed by bari +...

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  2. The volume of parallelopiped with edges bar(OA) = (lamda+ 2)bari +(l...

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  3. If bara, barb, barc are three non-coplanar vectors represented by conc...

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  4. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

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  5. If V is the volume of the parallelopiped having three coterminous edge...

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  6. The volume of the triangular pyramid with vertices A(2, 2, 2), B(4, 3,...

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  7. If bara, barb, barc are non-coplanar, nonzero vectors and barr is any ...

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  8. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

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  9. Let barr be a vector perpendicular to bara + barb + barc . If barr=l(b...

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  10. Let bara,barb are two unit vectors such that bara.barb=0. If barc=xbar...

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

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

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

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

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

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

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  17. If barr is any vector then barr =

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

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

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

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