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If a,b,c are p^(th),q^(th),r^(th) " te...

If a,b,c are `p^(th),q^(th),r^(th) " terms of an H.P and " baru=(q-r)bari+(r-p)barj+(p-q)bark, barv=bari/a+barj/b+bark/c`, then

A

`baru,barv` are othoganal vectors

B

`baru,barv` are parallel

C

can not be determined

D

none of these

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The correct Answer is:
A
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Let bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " I...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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