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Write the unit vector in the direction o...

Write the unit vector in the direction of `vecA=5veci+vecj-2veck`.

Text Solution

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`veca.vecb=`absa absb costheta`
`cos theta =(veca.vecb)/(absvecbabsvecb)`
`absveca=sqrt(2^2+3^2+4^4)=sqrt29`
`absvecb=sqrt(2^2+3^2+4^4)=sqrt29`
`veca.vecb=2xx+4+3xx+4xx2=25`
`cos theta = 25/29 implies thetacos^-1 (25/29)`
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