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Let bare(1) and bare(2) be unit vectors ...

Let `bare_(1) and bare_(2)` be unit vectors which include an angel `theta. "If " 1/2abs(bare_(1) - bare_(2)) = sin (k theta)`, then k=

A

`1/3`

B

`1/4`

C

`1/2`

D

`1/5`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. If bara,barb are two vectors of length 2, 1 respectively and abs(bara-...

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  2. If absbara = 3, absbarb =4 and (bara,barb)=(2pi)/3 , " then the value ...

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  3. Let bare(1) and bare(2) be unit vectors which include an angel theta....

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  4. If bara+barb+barc =bar0 , " then " bara.bara+barb.barb+2(bara.barb)-ba...

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  5. If absbara =5, absbarb =4, absbarc =3 and bara+barb+barc = bar0 ," the...

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  6. If bara,barb,barc are three vectors of equal magnitude and angle betw...

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  7. absbara=absbarb=absbarc=abs(bara+barb+barc)=1 and bara bot barb , (bar...

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  8. If bara,barb,barc are three vector such that each is inclined at an a...

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  9. The scalar product of the vector bari+barj+bark " with the unit vector...

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

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

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

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

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

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

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

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

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

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

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

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