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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+ sqrt2)`

C

`R sqrt2`

D

`R(sqrt2- 1)`

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The correct Answer is:
B

Resultant vector magnitude-
`R_("net") = R + sqrt(R^(2) + R^(2))= R(sqrt2 +1)`
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