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[(baraxxbarb)xx(barbxxbarc)(barbxxbarc)x...

[`(baraxxbarb)xx(barbxxbarc)(barbxxbarc)xx(barcxxbara)(barcxxbara)xx(baraxxbarb)]`=

A

`[bara barb barc]`

B

`[bara barb barc]^(2)`

C

`[bara barb barc]^(3)`

D

`[bara barb barc]^(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If bara is parallel to barbxxbarc then (baraxxbarb).(baraxxbarc))=

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  2. If bara, barb lie in a plane, normal to the plane containing barc, bar...

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  3. [(baraxxbarb)xx(barbxxbarc)(barbxxbarc)xx(barcxxbara)(barcxxbara)xx(ba...

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  4. If barA=baraxxbarb,barB=barbxxbarc,barC=barcxxbara then barAxx(barBxxb...

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  5. Given that barc is in the plane of bara, barb and bard is not iri the ...

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  6. [barbxxbarcbarcxxbarabaraxxbarb]=[barabarbbarc]^(k) then k=

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  7. If bara, barb, barc are non-coplanar, non zero vectors then (baraxxbar...

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  8. [barb barc bard]bara-[bara barc bard]barb+[bara barb bard]barc-[bara b...

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  9. (baraxxbari).(barjxxbark)+(baraxxbarj).(barkxxbari)+(baraxxbark).(bari...

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  10. If bara, barb, barc, bard are any four vectors then (baraxx barb) xx (...

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  11. If bara,barb,barc are coplanar vectors then (baraxxbarb)xx(barbxxbarc)...

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  12. If bara, barb, barc are any three vectors such that baraxxbarb=barc, b...

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  13. If bara,barb, barc are vectors such that [barabarbbarc]=4 then [baraxx...

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  14. Assertion (A) : Vector component of barb per pendicular to bara is (ba...

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  15. Let the vectors bara, barb, barc, bard be such that (bara xx barb) xx ...

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  16. The point of intersction of barr xx bara= barbxx bara and barr xx bar...

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  17. If the lines barr=bara+lamda(barbxxbarc) and barr=barb+mu(barcxxbara) ...

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  18. The distance of the point (1, 1, 1) from the plane passing through the...

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  19. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  20. Equation of the plane passing through the point A (3, -2, -1) and para...

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