Resultant of three vectors overrightarrow {OA} ,,overrightarrow {OB} and overrightarrow {OC} shown i

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3-1.Vectors

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Find the resultant of three vectors $\overrightarrow {OA} ,\,\overrightarrow {OB} $ and $\overrightarrow {OC} $ shown in the following figure. Radius of the circle is $R$.

A

$2R$

B

$R(1 + \sqrt 2 )$

C

$R\sqrt 2 $

D

$R(\sqrt 2 - 1)$

Solution

(b)${R_{{\rm{net}}}} = R + \sqrt {{R^2} + {R^2}} = R + \sqrt 2 R = R(\sqrt 2 + 1)$

Standard 11

Physics

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