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two vectors of equal magnitude P are inclined at some angle such that the difference in the magnitude of resultant and magnitude of either of the vectors is 0.732 X either of the magnitude of vector if the angle between them is increased by the half of its initial value then find the magnitude of difference of two vectors |
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Answer» Let each vector has a MAGNITUDE a which makes an angle θ between them HENCE the resultant (R) of these equal vectors R=a2+a2+2a⋅acosθ−−−−−−−−−−−−−−−−√ =2a2+2a2cosθ−−−−−−−−−−−−√ =a2–√1+cosθ−−−−−−−√ =a2–√1+2cos2θ2−1−−−−−−−−−−−−−√ =a2–√2cos2θ2−−−−−−√ =a2–√2–√cosθ2 =2acosθ2 & the resultant will be EQUALLY inclined at an angle θ2 with the equal vectors or the resultant acts ALONG the angle bisector of both the equal vectors |
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