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If |veca|=3, |vecb|=4 and the angle betw...

If `|veca|=3, |vecb|=4` and the angle between `veca and vecb is 120^(@)` . Then find the value of `|4 veca + 3vecb|`

Text Solution

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`|4veca+3.vecb|=sqrt((4veca+3vecb).(4veca+3vecb))`
`sqrt(16|veca|^(2)+9|vecb|^(2)+24veca.vecb)`
`sqrt(144 + 144 + 24 xx 3xx4 xx(-1/2))`
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