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If bara,barb,barc " are unit vectors suc...

If `bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, " then find the least value of " bara.barb+barb.barc+barc.bara`.

A

2

B

`3//2`

C

-2

D

`-3//2`

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The correct Answer is:
D
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. If barmu =bara-barb, barv=bara+barb and absbara=absbarb, " then " barm...

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  2. If bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, ...

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  3. The angle made by the vector 2bari+3barj+6bark " with X-axis is " cos^...

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  4. If bara,barb are two vectors of length 2, 1 respectively and abs(bara-...

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  5. If absbara = 3, absbarb =4 and (bara,barb)=(2pi)/3 , " then the value ...

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  6. Let bare(1) and bare(2) be unit vectors which include an angel theta....

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  7. If bara+barb+barc =bar0 , " then " bara.bara+barb.barb+2(bara.barb)-ba...

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  8. If absbara =5, absbarb =4, absbarc =3 and bara+barb+barc = bar0 ," the...

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  9. If bara,barb,barc are three vectors of equal magnitude and angle betw...

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  10. absbara=absbarb=absbarc=abs(bara+barb+barc)=1 and bara bot barb , (bar...

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  11. If bara,barb,barc are three vector such that each is inclined at an a...

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  12. The scalar product of the vector bari+barj+bark " with the unit vector...

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  13. The angle between the vectors bara and barb " is " 60^(@). " The the a...

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  14. The vectors barx and bary " satisfy " 2barx +bary =barp and barx+2bary...

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  15. Let bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " I...

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  16. If abs(bara+barb)lt abs (bara-barb) " then the angle between " bara an...

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  17. If a,b,c are p^(th),q^(th),r^(th) " terms of an H.P and " baru=(q-r...

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  18. If bara,barb,barc " are three mutually perpendicular vectors such that...

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  19. If the angle between the vectros (x,3,-7) and (x,-x,4) is acute, then ...

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  20. The value of c so that all real 'x' the vectors cxbari - 6barj+3bark, ...

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