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In DeltaABC, " if " BC = a, CA = b and A...

In `DeltaABC, " if " BC = a, CA = b and AB = C, " then what is the value of " bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB)`?

A

`a^(2)+b^(2)+c^(2)`

B

`1/2(a^(2)+b^(2)+c^(2))`

C

`2(a^(2)+b^(2)+c^(2))`

D

abc

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Let bara =2bari+3barj-bark, barb=bari-2barj+3bark. bare is a vector p...

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

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

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  4. If a,b,c,d are the vertices of a rhombus, then

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  5. The angle between the diagonals of a parallelogram with the vectors 2b...

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  6. If bar(AB)=2bara+barb and bar(AD) = bara-2barb " where " absbara=1, ab...

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  7. bara=bari-barj+3bark , barb =3bari-5barj+6bark. " the magnitude of the...

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  8. The projection of vector bari+barj+bark " on the line whose vector equ...

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  9. Let bara =bari+2barj+bark, barb=bari-barj+bark, barc=bari+barj-bark. A...

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  10. The foot of the perpendicular drawn from a point with position vector ...

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  11. In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

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  12. The vector equation of the plane which is perpendicular to 2bari+3barj...

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  13. The cartesian equation of the plane which is at distance of 10 unit fr...

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  14. Vector equation of the plane through the origin and perpendicular to ...

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  15. The angle between the planes barr.(2bari+barj+bark)=5, (bari-barj+2ba...

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  16. If the planes 3x+4y+mz-26=0, 4x-3y-z-1=0 are perpendicular, then m =

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  17. If A =(1,3,-5), B=(3,5,-3) then the vector equation of the plane passi...

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  18. The cartesian equation of the plane passing through (-2,1,3) and perpe...

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  19. Equation of the plane passing through the point (3,4,5) and parallel t...

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  20. Vector equation of the plane to which the vector bari+barj " normal, a...

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