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(bara+2barb-barc).(bara-barb)xx(bara-bar...

`(bara+2barb-barc).(bara-barb)xx(bara-barb-barc)=`

A

`-[bara barb barc]`

B

`2[bara barb barc]`

C

`3[bara barb barc]`

D

`bar0`

Text Solution

Verified by Experts

The correct Answer is:
C
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bara,barb,barc are non-coplanar and barl=(barbxxbarc)/([bara barb barc]),barm=(barcxxbara)/([bara barb barc]),barn=(baraxxbarb)/([bara barb barc]) then (bara+barb+barc).(barl+barm+barn)=

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Let bara,barb and barc be non coplanar vectors if [2bara-barb+3barc,bara+barb-2barc,bara+barb-3barc]=lamda[bara barb barc] then find lamda .

If [bara barb barc ] = 1 then show that (bara.bara)(barbxxbarc)+ (bara.barb)(barcxxbara)+(bara.barc)(baraxxbarb)=bara .

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bara,barb,barc are non co planar vectors, then prove that four points 6bara+2barb-barc,2bara-barb+3barc,-bara+2barb-4barc, -12bara-barb-3barc , are coplanar.

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. (bari-barj) xx (barj-bark).(bark-bari) =

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  2. If (bara-lamdabarb).(barb-2barc)xx(barc+2bara)=0 then lamda=

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  3. (bara+2barb-barc).(bara-barb)xx(bara-barb-barc)=

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  4. barc.(barb+barc)xx(bara+barb+barc)=

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  5. If baru, barv and barw are three non - coplanar vectors then (baru+bar...

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  6. If bara,barb,barc are unit coplanar vectors, then find [ 2bara-barb ...

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  7. [bara barb barc]+[bara barc barb]=

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  8. [bari-barj bark]+[-bari-barj bark]+[bari-bark bark]=

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  9. If bara, barb, barc are mutually perpendicular unit vectors then [bara...

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  10. If bara, barb, barc are the vectors parallel to the coordinate axes in...

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  11. The four points whose position vectors are 6bari -7 barj, 16bari -29ba...

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  12. For non - coplanar vectors bara,barb and barc determine p for which th...

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  13. Let a, b and c be distinct non-negative numbers. If the vectors abar(i...

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  14. If the three vectors 2bari -barj +bark, bari+ 2barj -3bark, 3bari + la...

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  15. Find the volume of the parallelopiped having co-terminus edges bari+ba...

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  16. The volume of parallelopiped with vectors bara+2barb-barc,bara-barb,ba...

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  17. The volume of Parallelopiped with edges bara+barb,barb+barc,barc+bara ...

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  18. The volume of a parallelopiped with coterminous edges bari+xbarj-x^(2)...

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

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

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