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Find a unit vector in the direction of t...

Find a unit vector in the direction of the vector `3hati +4hatj`

Text Solution

Verified by Experts

Let `vecV = 3hati+4hatj`
Magnitude of `vecV=abs(vecV) =sqrt(3^2+4^2)=sqrt25 =5`
`vecV=hatalpha abs(vecV), " where " hatalpha` is a unit vector along `vecV`
`hatalpha =(vecV)/(abs(vecV))=3/5 hati +4/5 hatj`
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