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bara,barb,barc are non-coplanar and barl...

`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)=`

A

0

B

1

C

2

D

3

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The correct Answer is:
C
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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)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that (bara+barb+barc).(bara^(1)+barb^(1)+barc^(1))=3

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

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that bara.barb^(1)=bara.barc^(1)=barb.bara^(1)=barb.barc^(1)=barc.bara^(1)=barc.barb^(1)=0

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

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

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. If bara, barb, barc represents three concurrent edges of a rectangular...

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  2. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

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  3. bara,barb,barc are non-coplanar and barl=(barbxxbarc)/([bara barb barc...

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  4. bara.barb^(1)+barb.barc^(1)+barc.bara^(1)=

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  5. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

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  6. baraxxbara^(1)+barbxxbarb^(1)+barcxxbarc^(1)=

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  7. The vector [(bari-barj)xx(barj-bark)]xx(bari+5bark) is

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  8. Let bara,barb,barc be three vectors which satisfy baraxx(barbxxbarc)=(...

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  9. If bara=bari+barj+bark,bara.barb=1,baraxxbarb=2bari+barj-3bark then 3b...

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  10. Unit vector coplanar with bari+barj+2bark,bari+2barj+bark and perpendi...

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  11. If bara,barc,bard are coplaner then the value of (bard+bara).[baraxx{b...

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  12. Let bara, barb, barc be three vectors having magnitudes 1,1,2 respecti...

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  13. If bara,barb,barc are non-coplanar unit vectors such that baraxx(barbx...

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  14. Vector component of barb perpendicular to bara is

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  15. The vector equation of the plane passing through the points (1, -2, 5)...

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  16. Equation of the plane passing through the points with position vector...

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  17. Vector equation of the plane passing through bara, barb and parallel t...

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  18. The shortest distance between the straight line passing through the po...

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  19. The distance between the plane whose equation is barr · (2bari + barj-...

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  20. The vector equation of a straight line passing through bara and perpen...

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