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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.

A

2R

B

`R(1+sqrt(2))`

C

`Rsqrt(2)`

D

`R(sqrt(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
b

`rarr` magnitude of resultant is `sqrt(R^(2)(1+(1)/sqrt(2)^(2))+R^(2)(1+(1)/sqrt(2)^(2))=R(1+sqrt(2))`
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