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Let bara=2bari+barj+bark,barb=bari+2barj...

Let `bara=2bari+barj+bark,barb=bari+2barj-bark` and a unit vector `barc` be coplaner. If `barc` is perpendiclar to `bara` then `barc=`

A

`1/(sqrt2)(-barj+bark)`

B

`1/(sqrt3)(-bari-barj-bark)`

C

`1/(sqrt5)(bari-2barj)`

D

`1/(sqrt3)(bari-barj-bark)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. baralpha=x(baraxxbarb)+y(barbxxbarc)+z(barcxxbara) and [barabarbbarc]=...

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

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

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

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

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

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  7. If bara, barb, barc represents three concurrent edges of a rectangular...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Vector component of barb perpendicular to bara is

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