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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

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`vecR = vec(OA) + vec(OB) + vec(OC)`
`vecR =rhati + r cos 45 hatj + r sin 45 hatj + r hatj`
`vecR = (r+r/sqrt(2))hati + (r+r/sqrt(2))hatj`
`|vecR| =(sqrt(2)r+r)` along `vec(OB)`
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