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The position vectors os a particle is r=...

The position vectors os a particle is `r=(acosomegat)hati+(asinomegat)hatj.`The velocity of particle is

A

parallel to the position vector

B

perpendicular to the position vector

C

directed towards the origin

D

directed away from the origin

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The correct Answer is:
b
`vecv = dvecr//dt = -(aomega sin omegat) hati + (aomega cos omegat) hatj ` slope ` = a cos omegat - a sin omegat = -1//tan omegat`. Slope of position vector = `tan omegat`. So `vecc` in perpendicular to `vecr`.
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ICSE-COMPETITION CARE UNIT-VECTORS AND SCALARS [Selected from Previoius Years Engg. & Med. & IIT Exam Qns]
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  2. The angle between veca xx vecb and vecb xx veca is

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  3. If the sum of two unit vectors is a unit vector, then the magnitude of...

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  4. If hatn is a unit vector in the direction of the vector vecA, then

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  5. If vec(A)=vec(B)+vec(C ), and the magnitudes of vec(A),vec(B),vec(C ) ...

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  6. The maximum number of components into which a vector can be resolved i...

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  7. The minimum number of vectors of equal magnitude needed to produce zer...

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  8. Given that veca + vecb = veca-vecb,. This can be true when

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  9. If veca * vecb = |veca xx vecb|, then this angle between veca and vecb...

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  10. The projection vector of veca" on "vecb is

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  11. The angle between two vectors veca and vecb is pi//2. Then |hata xx ha...

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  12. Given that veca * vecb = 0 and veca xx vecc = 0 Then the angle between...

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  13. There are n coplanar vectors each of magnitude m and each vector is in...

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  14. Given that veca and vecb are two non zero vectors, then the value of (...

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  15. The linear velocity of rotating body is given by vecv = vecomega xx ve...

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  16. The position vectors os a particle is r=(acosomegat)hati+(asinomegat)h...

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  17. The length of the sum of the vectors veca = 3hati and b = 4hatj is

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  18. If 0.5hati + 0.8hatj + chatk is aunit vector then c is

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  19. The resultant of three vectors 1,2, and 3 units whose directions are t...

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  20. If the angle between the vector vecA and vecB is theta , the value of ...

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