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Assertion: If position vector is given by `hatr=sinhati+costhatj-7thatk`, then magnitude of acceleration `|veca|=1` Reason: The angles which the vector `vecA=A_(1)veci+A_(3)hatk` makes with the co-ordinate asex are given by `cos alpha=(A_(1))/(A), cos beta=(A_(2))/(A)& cos gamma=(A_(3))/(A)`.A. If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.B. If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.C. If Assertion is True but the Reason is False.D. If both Assertion `&` Reason are false. |
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Answer» Correct Answer - B `vecr=(sin t)hati+(cos t)hatj-7 thatk` `vecv=-(dvecr)/(dt)=cos t hati-sin t hatj-7 hatk` `veca=(dvecv)/(dt)=-sin tveci-cos t hat j` `|veca|=sqrt(sin^(2) t+cos^(2)t)=1` |
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