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`        The three vectors OA,OB,OC have the same magnitude r then the sum of these vectors have magnitude is and the angle between OA and OC is 45 degree and angle between OC and OA is 45 degree`
4 months ago

```							Then angle between vector OB and OA will be 90° now break vector OC into its rectangular components..Like vector OCcos45° along vector OA and OAsin45° along vector OB then add them simple algebraically where |OA|=|OB|=|OC|=R such asR+Rcos45° along vector OA(1+1/√2)RAndR +Rsin45° along vector OB(1+1/√2)RNow apply formula resultant =(A^2 + B^2 + 2ABcos\$)^(1/2) where \$ is angle between themHere \$ = 90°So we have sum =(√2 +1)R RegardsArun (askIITians forum expert)
```
4 months ago
```							Assuming that all three vectors are in the same plane, We can say that angle between OA and OB is 90°. This implies there resultant i.e. OA + OB = root(R^2 + R^2) => root(2) R.Now the OC vector and resultant vector are in same direction this we can add them algebrically i.e. R + root(2) RAnswer : R [1+root(2)]
```
4 months ago
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