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Find the unit vector in the direction of...

Find the unit vector in the direction of vector `veca=4hati+3hatj+hatk`.

Text Solution

Verified by Experts

The unit vector in the direction of a vector `veca` is given by `hat a=(1)/(|veca|)veca`
Now, `|veca|=sqrt(4^(2)+3^(2)+1)=sqrt(26)`
Therefore `hat a=(1)/(|veca|)veca`
`=(1)/(sqrt(26))(4hatj+3hatj+hatk)`
`hat a=(4)/(sqrt(26))hati+(3)/(sqrt(26))hatj+(1)/(sqrt(26))hatk`
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