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If bare(1),bare(2) and bare(3) are non-...

If `bare_(1),bare_(2) and bare_(3) ` are non-coplanar unit vectors and ` alpha=(bare_(1),bare_(2)), beta = (bare_(2),bare_(3)) and
gamma = (bare_(3),bare_(1))` then what is the minimum value of `cosalpha+cosbeta +cos gamma`?

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Verified by Experts

The correct Answer is:
`-(3)/2`
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-ADDITIONAL EXERCISE
  1. If bare(1),bare(2) and bare(3) are mutually perpendicular unit vectors...

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

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  3. If A = (1,-1,0), B=(1,2,1), C=(2,3,0) and D=(0,1,t). Be four points. ...

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  4. bara,barb,barc are mutually perpendicular unit vectors and bard is a u...

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  5. In the coordinate plane, A(1,y(0)) " is a point on the curve " y=2sq...

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  6. If the vectros (cosx)bari +(sinx)barj and xbari+(sinx)barj are colline...

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  7. Find the acute angle between the diagonals of a parallelogram whose ad...

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  8. If bara = 3bari-4barj-bark, barb = 2bari + 3barj -6bark are diagonals...

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  9. If the planes barr.(bari+barj-3bark) = 7 and barr.(bari -tbarj+bark) =...

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  10. If bara,barb" and "bara-barb are unit vectors, then what is the angle ...

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  11. In DeltaABC, " if " BC = a, CA = b and AB = C, " then what is the valu...

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  12. If absbara = 3,absbarb =2 and theta " is angle between " bara and barb...

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  13. If bara = xbari + ybari + zbark, then what are the value of x, y and z...

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  14. If bara,barb,barc " are unit vectors, then find least value of " 2(ba...

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  15. If bara " is perpendicular to " bari,barj & bark, " then find " bara.

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  16. If bar(AD),bar(BE) and bar(CF) " are the medians of " DeltaABC, then f...

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  17. If bara and barb are any two non-zero vectors, then find the angle bet...

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  18. If bara and barb are non-zero vectors such that abs(bara+barb)^(2) = a...

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  19. If bare(1),bare(2) and bare(3) are non-coplanar unit vectors and alp...

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  20. In above problem, if cosalpha+cosbeta +cos gamma is minimum, then what...

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