1.

Let barA=(1)/(sqrt(2))costhetahati+(1)/(sqrt(2)) sin thetahatjbe any vector. What will be the unit vector hatnin the direction of barA ?

Answer»

`COS theta hati+sin theta hatj`
`-cos theta hati-sin theta hatj`
`(1)/(sqrt(2))(cos theta hati+sin theta)`
`(1)/(sqrt(2))(cos theta hati-sin theta)`

Solution :`hatn=(VECA)/(|A|)=(1//sqrt(2)costhetahati+1//sqrt(2)sin thetahatj)/(1//sqrt(2))`
`=costhetahati+sin thetahatj`


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