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If bara = 3bari-4barj-bark, barb = 2bar...

If `bara = 3bari-4barj-bark, barb = 2bari + 3barj -6bark` are diagonals of a parallelogram, then show that it is a rhombus.

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If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the angle between " bara and barb is

If bara=2bari+barj-3bark, barb=3barj-2barj-bark then find the angle between .

[bari-barj bark]+[-bari-barj bark]+[bari-bark bark] =

If bara = bari -barj-bark, barb = lambdabari-3barj+bark " and the or-thogonal projection of " barb " on " bara " is " 4/3(bari-barj-bark), " then " lambda =

If bara= bari-2barj-3bark, barb= 2bari+barj-bark, barc= bari+3barj-2bark , find bara xx (barb xx barc) .

If bara = bari - 2barj - 3bark, barb = 2bari + barj - bark , barc = bari + 3barj - 2bark then find bar(a) xx (barb xx barc) and |(barb xx barc) xx barc | .

If bara=2bari-3barj+5bark,barb=3bari-4barj+5bark and barc = 5bari - 3barj -2bark , then the volume of the parallelopiped with co-terminus edges bara+ barb, barb + barc, barc + bara is

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

If bara = bari - 2barj - 3bark , barb= 2bari + barj - bark , barc = bari + 3barj - 2bark find bara xx (barb xx barc) .

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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