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If [baraxx(barbxxbarc)]xxbarc=(bara·barc...

If `[baraxx(barbxxbarc)]xxbarc=(bara·barc)barR` then `barR=`

A

`barcxxbarb`

B

`barbxxbarc`

C

`barcxxbara`

D

`baraxxbarc`

Text Solution

Verified by Experts

The correct Answer is:
B
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Show that (baraxx(barbxxbarc))xxbarc=(bara.barc)(barbxxbarc) and ((baraxxbarb).(baraxxbarc)+bara.barb)(bara.barc)=(bara.bara)(barb.barc)

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

If barA=baraxxbarb,barB=barbxxbarc,barC=barcxxbara then barAxx(barBxxbarC), barB(barCxxbarA),barCxx(barAxxbarB) are

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

If bara,barb,barc are non-coplanar unit vectors such that baraxx(barbxxbarc)=(barbxxbarc)/(sqrt2) then (bara,barb) =

If [bara barb barc]=2,baraxxbarb=barc,barbxxbarc=2bara then show that barcxxbara=barb

If bara=bari+2barj+bark,barb=2bari+barj-bark,barc=3bari-barj+2bark then find baraxx(barbxxbarc),(baraxxbarb)xxbarc then show that they are not equal.

Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii) {(baraxxbarb)xx(baraxxbarc)}.bard=(bara.bard)[bara barb barc]

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. If barb, barc are like unit vectors and baraxx (barbxx barc) = bar0 th...

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  2. If bara, barb are two unit perpendicular vectors then baraxx (baraxx b...

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  3. If [baraxx(barbxxbarc)]xxbarc=(bara·barc)barR then barR=

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

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  5. If barp is non- · zero vector such that barp. bara= barp. barb = 0 and...

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  6. If (bara xx barb).(barc xx bard) = (bara.barc)(barb.bard) + k(bara.bar...

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  7. If (baraxxbarb)xx(barcxxbard)=[barabarbbard]barc +kbard then k =

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  8. The volume of tetrahedron with edges barixxbarj,barjxxbark,barkxxbari ...

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

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  10. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

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  11. bara is perpendicular to barb,barc. If abs(bara)=2,abs(barb)=3,abs(bar...

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  12. The angle between a,b is 30° and barc is perpendicular to both bara an...

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  13. The P. V. of the points A, B, C, D are 3bari-2barj-bark,2bari+3barj-4b...

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  14. If a(bar(alpha) xx bar(beta)) + b(bar(beta) xx bar(gamma)) +c(bar(gamm...

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  15. baralpha=x(baraxxbarb)+y(barbxxbarc)+z(barcxxbara) and [barabarbbarc]=...

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

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  17. Let bara=2bari+barj+bark,barb=bari+2barj-bark and a unit vector barc b...

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  18. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  19. Let baralpha=abari+bbarj+cbark,barbeta=bbari+cbarj+abark and bargamma=...

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  20. If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...

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