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If a(bar(alpha) xx bar(beta)) + b(bar(be...

If `a(bar(alpha) xx bar(beta)) + b(bar(beta) xx bar(gamma)) +c(bar(gamma) xx bar(alpha)) = 0` and atleast one of the scalars a, b, c is non-zero, then the vectors `bar(alpha), bar(beta), bar(gamma)` are

A

0

B

1

C

`-1`

D

can not be determined

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Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. The angle between a,b is 30° and barc is perpendicular to both bara an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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