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[barbxxbarcbarcxxbarabaraxxbarb]=[baraba...

`[barbxxbarcbarcxxbarabaraxxbarb]=[barabarbbarc]^(k)` then k=

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
B
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If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc)/([barabarbbarc]),barq=(barcxxbara)/([barabarbbarc]),barr=(baraxxbarb)/([barabarbbarc]) then (2bara+3barb+4barc).barp+(2barb+3barc+4bara).barq+(2barc+3bara+4barb).barr =

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([barabarbbarc]),barb^(1)=(barcxxbara)/([barabarbbarc]) and barc^(1)=(baraxxbarb)/([barabarbbarc]) then prove that [barabarbbarc][bara^(1)barb^(1)barc^(1)]=1

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([barabarbbarc]),barb^(1)=(barcxxbara)/([barabarbbarc]) and barc^(1)=(baraxxbarb)/([barabarbbarc]) then prove that (bara+barb).bara^(1)+(barb+barc).barb^(1)+(barc+bara).barc^(1)=3

baralpha=x(baraxxbarb)+y(barbxxbarc)+z(barcxxbara) and [barabarbbarc]=1//8 then x+y+z=

If bara, barb, barc are any three vectors such that baraxxbarb=barc, barbxxbarc=bara,barcxxbara=barb then [barabarbbarc] =

Show that [bara+barbbarb+barcbarc+bara]=2[barabarbbarc]

Show that (bara+barb).(barb+barc)xx(barc+bara)=2[barabarbbarc]

If bara,barb, barc are vectors such that [barabarbbarc]=4 then [baraxxbarbbarbxxbarcbarcxxbara] is equal to

A : If bara, barb, barc form a left handed orthogonal system such that bara.bara= 4, barb.barb =9, barc.barc =16 rArr [barabarbbarc]=-24 R : For left handed system [bara barb barc] bara, barb, barc, [barabarbbarc] =pm(absbara.absbarb.absbarc) The correct answer is

If barabarbbarc are three unit vectors such that baraxx(barbxxbarc)=1/2barb then show that (bara,barb)=90^(@)(bara,barc)=60^(@)

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If barA=baraxxbarb,barB=barbxxbarc,barC=barcxxbara then barAxx(barBxxb...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. The distance of the point (1, 1, 1) from the plane passing through the...

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  16. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  17. Equation of the plane passing through the point A (3, -2, -1) and para...

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  18. Vector equation of the plane passing through the line barr =bara+ alph...

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  19. The vectors equation of the plane which is per-pendicular to 2bari -3b...

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  20. The position vectors of the three non-collinear points A, B, C, are ba...

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