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Let bara,barb,barc " be unit vectors an...

Let `bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " If " bara.barx = 1, barb.barx=3/2 and absbarx = 2 , " then the angle between " barc and barx` is

A

`cos^(-1)(1/4)`

B

`cos^(-1)(3/4)`

C

`cos^(-1)(3/8)`

D

`cos^(-1)(5/8)`

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 angle between the vectors bara and barb " is " 60^(@). " The the a...

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  2. The vectors barx and bary " satisfy " 2barx +bary =barp and barx+2bary...

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  3. Let bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " I...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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