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baraxx(barbxxbarc)+barbxx(barcxxbara)+ba...

`baraxx(barbxxbarc)+barbxx(barcxxbara)+barcxx(baraxxbarb)=`

A

0

B

`bar0`

C

1

D

`baraxxbarbxxbarc`

Text Solution

Verified by Experts

The correct Answer is:
B
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Show that 3 vectors baraxx(barb xxbarc),barb xx(barcxxbara), barc xx (baraxx barb) are coplanar.

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

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

i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark)=2bara ii) If barixx(barrxxbari)+barjxx(barrxxbarj)+barkxx(barrxxbark)=baraxxbarb then find barr interms of bara and barb

baraxx{baraxx(baraxxbarb)} =

If barA=baraxxbarb,barB=barbxxbarc,barC=barcxxbara then barAxx(barBxxbarC), barB(barCxxbarA),barCxx(barAxxbarB) are

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) =

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. The volume of a parallelopiped with coterminous edges bari+xbarj-x^(2)...

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  2. If the volume of tetrahedron with edges bari+barj-bark,bari+abarj+bark...

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  3. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

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  4. If the vertices of a tetrahedron have the P.V.'s bar0, bari + barj, 2b...

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  5. bari,barj,bark is a right handed system of vectors and bara=2bari-25ba...

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

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  7. baraxx(barbxxbarc) is parallel to barb then

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  8. baraxx{baraxx(baraxxbarb)}=

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  9. If bara,barb,barc are any three vectors such that (bara+ barb) . barc ...

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  10. If bara, barb, barc are any three vectors then (baraxxbarb)xxbarc is a...

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  11. (barbxxbarc)xx(barcxxbara)=

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  12. (baraxxbarb)xx(barbxxbarc)=

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  13. (baraxxbari)xxbari +(baraxxbarj)xxbarj+(baraxxbark)xxbark=

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  14. If bara=2bari+3barj-bark,barb=-bari+2barj-4bark, barc=bari+barj+bark t...

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  15. If bara and barb are unit vectors, then the vector ( bara + barb) xx (...

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  16. If bara= 2bari+barj-3bark, barb = bari-2barj+bark, barc = -bari+barj-4...

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  17. If (baraxxbarb)xx(barcxxbard)=lamdabarc+μbard then lamda,mu=

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  18. [(baraxxbarb)xx(baraxxbarc)].bard=k[bara barb barc] then k=

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  19. If bara,barb,barc,bard are unit co-planar vectors then abs((baraxxbarb...

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  20. If bara, barb, barc, bard, bare are co-planar vectors then {(baraxxbar...

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