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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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`OA = OC
OA + OC` is along OB (bisector ) and its magnitude is `2R cos 45^(@) = Rsqrt(2)`
`(OA + OC) +OB` is along `OB` and its magnitude is `Rsqrt(2)+R = R (1+sqrt2)`
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