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If, in a right angled triangle ABC, the hypo tenus AB =p, then `bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB)`=

A

P

B

`P^(2)`

C

`P^(3)`

D

`P^(4)`

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. The values of x for which the angle between the vectors bara = xbari -...

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  2. The unit vector in ZOX-plane making angles 45^(@) and 60^(@) " respect...

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  3. If, in a right angled triangle ABC, the hypo tenus AB =p, then bar(AB...

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  4. Let bara= 4bari-3barj+5bark . A vector b is coplanar with bari, barj ...

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  5. The component of 5bari-3barj+bark " on " 2bari+barj+2bark is

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  6. If the projection of the vector bari+barj+bark " on the vector " abari...

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  7. Let bara= 2bari+3barj+k,barb = 4bari+barj and bari = bari - 3barj-bark...

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  8. Let bara =2bari+3barj-bark, barb=bari-2barj+3bark. bare is a vector p...

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

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

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

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

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

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

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

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

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

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

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

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

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