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If bara=bari+barj-bark,barb=bari-barj+ba...

If `bara=bari+barj-bark,barb=bari-barj+bark,barc` is a unit vector perpendicular to `bara` and coplanar with `bara` and `barb`, then `barc` =

A

`1/(sqrt6)(2bari+barj+bark)`

B

`pm(1/(sqrt6)(2bari-barj+bark)`

C

`1/(sqrt6)(2bari+barj-bark)`

D

`1/(sqrt6)(2bari-barj-bark)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. sum[(baraxxbari)xxbarj]^(2)=

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  2. [barb barc barbxxbarc]+{barb.barc}^(2)=

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  3. If bara=bari+barj-bark,barb=bari-barj+bark,barc is a unit vector perpe...

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  4. (barbxxbarc).(axxbard)+(barcxxbara).(barbxxbard)+(baraxxbarb).(barcxxb...

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  5. If bara is parallel to barbxxbarc then (baraxxbarb).(baraxxbarc))=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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