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Find the unit vector of (vec(A)+vec(B)) ...

Find the unit vector of `(vec(A)+vec(B))` where `vec(A)=2hati-hatj+3hatk` and `vec(B)=3hati-2hatj-2hatk`.

Text Solution

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`(vec(A)+vec(B))=(2hati-hatj+3hatk)+(3hati-2hatj-2hatk)`
`=5hati-3hatj+hatk=vec(C)(say)`
Magnitude of `vec(C)=C=[5^(2)+(-3)^(2)+1^(2)]^(1//2)=sqrt(35)`
So `hatC=vec(C)/C=(5hati-3hatj+hatk)/sqrt(35)`
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