Vectors Question 81

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

Options:

A) 2R

B) $ R(1+\sqrt{2}) $

C) $ R\sqrt{2} $

D) $ R(\sqrt{2}-1) $

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Answer:

Correct Answer: B

Solution:

$ {R _{net}}=R+\sqrt{R^{2}+R^{2}}=R+\sqrt{2}R=R(\sqrt{2}+1) $