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(barbxxbarc).(axxbard)+(barcxxbara).(bar...

`(barbxxbarc).(axxbard)+(barcxxbara).(barbxxbard)+(baraxxbarb).(barcxxbard)=`

A

0

B

1

C

2

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
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If bara,barb,barc,bard are four vectors, then show that (baraxxbarb).(barcxxbard)+(barbxxbarc).(baraxxd)+(barcxxbara).(barbxxbard)=0

(barbxxbarc)xx(barcxxbara)=

Show that (baraxx(barbxxbarc))xxbarc=(bara.barc)(barbxxbarc) and ((baraxxbarb).(baraxxbarc)+bara.barb)(bara.barc)=(bara.bara)(barb.barc)

If bara, barb, barc are non-coplanar, non zero vectors then (baraxxbarb)xx(baraxxbarc)+(barb xxbarc)xx(barbxxbara)+ (barcxxbara)xx(barcxxbarb) =

Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii) {(baraxxbarb)xx(baraxxbarc)}.bard=(bara.bard)[bara barb barc]

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) =

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

If [veca vecb vecc]=1 then (bara.(barbxxbarc))/((barcxxbara).barb)+(barb.(barcxxbara))/((baraxxbarb).barc)+(barc.(baraxxbarb))/((barbxxbarc).bara)=

If bara,barb,barc are coplanar vectors then (baraxxbarb)xx(barbxxbarc)+(barbxxbarc)xx(barcxxbara)+(barcxxbara)xx(baraxxbarb)=

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. [barb barc barbxxbarc]+{barb.barc}^(2)=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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