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

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

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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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

If bara. barb = barb. barc = barc . bara = 0 then [bara barb barc] =

If bara,barb,barc " are unit vectors, then find least value of " 2(bara.barb)+2(barb.barc)+2(barc.bara) .

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)/([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

If V is the volume of the parallelopiped having three coterminous edge, as, bara ,barb and barc then the volume of the parallopiped having three coterminous edges as baralpha=(bara.bara)bara+(bara.barb)barb+(bara.barc)barc barbeta=(barb.bara)bara+(barb.barb)barb+(barb.barc)barc bargamma=(barc.bara)bara+(barc.barb)barb+(barc.barc)barc is

If absbara =5, absbarb =4, absbarc =3 and bara+barb+barc = bar0 ," then " abs(bara.barb+barb.barc+barc.bara) =

If 2 out of 3 vectors bara,barb,barc " are unit vectors, " bara+barb+barc = bar0 and 2(bara.barb+barb.barc+barc.bara)+3 =0 " then the " 3^(rd) vector is of length

Show that (baraxx(barbxxbarc))xxbarc=(bara.barc)(barbxxbarc) and ((baraxxbarb).(baraxxbarc)+bara.barb)(bara.barc)=(bara.bara)(barb.barc)

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

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

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

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

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

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

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

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

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

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

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

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

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  13. Vector component of barb perpendicular to bara is

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

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

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

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

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

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

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  20. If bara,barb,barc are the position vectors of the vertices of a triang...

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