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If the vertices of a tetrahedron have th...

If the vertices of a tetrahedron have the P.V.'s `bar0, bari + barj, 2barj -bark` and `bari + bark` then the volume of the tetrahedron is

A

`1/6`

B

1

C

2

D

3

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The correct Answer is:
A
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If the volume of tetrahedron with edges bari+barj-bark,bari+abarj+bark and bari+2barj-bark is a/6 then a=

(bari-barj) xx (barj-bark).(bark-bari) =

Find the volume of the tetrahedron having the coterminus edges 2bari + barj +bark, bari -3barj +2bark, bari -bark .

Find the volume of the tetrahedron formed by the points 3bari+4barj,bari+barj,3bari-barj,3barj+2bark .

Find the volume of the tetrahedron with edges bari+2barj+2bark,2bari-barj+2bark,2bari+2barj-bark

If bara=2bari+barj-3bark, barb=3barj-2barj-bark then find the angle between .

Find the volume of tetrahedron formed by the four planes barr. (bari + barj) = 0 , barr. (barj + bark) = 0, barr. (bari + bark) = 0 and barr. (bari + barj + bark) = 4.

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

bari,barj,bark is a right handed system of vectors and bara=2bari-25barj+17bark,barb=-3barj+5bark,barc=4bark . If V is the volume of a tetrahedrone with edges bara,barb,barc then ([barabarbbarc])/V =

If P, Q, R and S are points whose position vectors are bari-bark, -bari+2barj, 2barj-3bark and 3bari - 2barj- bark respectively, then find the component of bar(RS) " on " bar(PQ) .

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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