1.

Given vec(A)=2 hat(i) - hat(j) + 2 hat(k). The unit vector of vec(A) - vec(B) is:

Answer»

`vec(K)/sqrt(10)`
`(3hat(i))/sqrt(10)`
`(3hat(i) + HAT(J))/sqrt(10)`
`(-3hat(i) + hat(k))/sqrt(10)`

Solution :`vec(A)-vec(B)=(2hati -HATJ+2hatk)-(-hati-2hatj+2hatk)`
`=3hati + hatj`
`hat(N)=(vec(A) - vec(B))/(|vec(A)-vec(B)|)=(3hati + hatj)/sqrt(9+1)=(3hati + hatj)/sqrt(10)`


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