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Let baralpha=abari+bbarj+cbark,barbeta=b...

Let `baralpha=abari+bbarj+cbark,barbeta=bbari+cbarj+abark` and `bargamma=cbari+abarj+bbark` be three coplaner vectors with `baralphanebarbetanebargamma` and `barr=bari+barj+bark` then ~r` is perpendicular to

A

`baralpha`

B

`barbeta`

C

`bargamma`

D

`baralpha,barbeta,bargamma`

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The correct Answer is:
C
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. Let bara=2bari+barj+bark,barb=bari+2barj-bark and a unit vector barc b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Vector component of barb perpendicular to bara is

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

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

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