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Let vec(a)=12hati+nhatj and |vec(a)|=13,...

Let `vec(a)=12hati+nhatj and |vec(a)|=13`, find the value of n.

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Here, `a=12hati+nhatj`
`implies|a|=sqrt(12^(2)+n^(2))=13`
`implies144+n^(2)=169`
`impliesn^(2)=25` or `n=+-5`
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