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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

Verified by Experts

OA=OC
`vec(OA)+(OC)` is along `vec(OB)` (bisector ) and its magnitude is
`2Rcos45^0=Rsqrt2`
`vec((OA)+(vecOC))+vec(OB)` and its magnitude is
`Rsqrt2+R=R(1+sqrt2)`
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