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Two vectors having equal magnitudes A ma...

Two vectors having equal magnitudes A make an angle `theta` with each other. Find the magnitude and direction of the resultant.

Text Solution

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`R=(A^2+A^2+2A Acostheta)^(1/2)` `R=(2A^2+2A^2costheta)^(1/2)`
`R=(2A^2(1+costheta))^(1/2)`
`R=(2A^2*2cos^2(theta/2))^(1/2)`
`R=(4A^2cos^(theta/2))^(1/2)`
`R=2Acos(theta/2)`
`tantheta'=(Asinntheta)/(Acostheta+A)`
`sintheta/(1+costheta)`
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