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If |veca|=5 , |veca-vecb| = 8 and |veca ...

If `|veca|=5 , |veca-vecb| = 8 and |veca +vecb|=10` then find `|vecb|`

Text Solution

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`|veca+vecb|^(2)+|veca-vecb|^(2)= 2(|veca|^(2)+|vecb|^(2))`
`Rightarrow 100 + 64 = 2(25+|vecb|^(2))`
`or 82 = 25 + |vecb|^(2)`
`or |vecb|^(2) = 57`
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