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Find the resultant of the three vectors ...

Find the resultant of the three vectors `vec(OA), vec(OB)` and `vec(OC)` shown in figure. Radius of the circle is R.

Text Solution

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`overlineR=overlineOA+overlineOB+overlineOC`
`overlineR-rhati+r cos 45^(@)hati+4 sin 45^(@)hatj+rhatj`
`overlineR=(r+(r)/sqrt(2))hati+(r+(r)/sqrt(2))hatj`
`|vecR|=(sqrt(2)r+r)` along `overlineOB`.
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