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If the volume of tetrahedron with edges ...

If the volume of tetrahedron with edges `bari+barj-bark,bari+abarj+bark` and `bari+2barj-bark` is a/6 then a=

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. The volume of Parallelopiped with edges bara+barb,barb+barc,barc+bara ...

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

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

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

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

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

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

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  8. baraxx(barbxxbarc) is parallel to barb then

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  9. baraxx{baraxx(baraxxbarb)}=

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

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

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  12. (barbxxbarc)xx(barcxxbara)=

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  13. (baraxxbarb)xx(barbxxbarc)=

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

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

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

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

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

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

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

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