Write a unit vector in the direction of ` vec (PQ)` where `P``Q` are the points `(1, 3, 0)` and `(4, 5, 6)` respectively.

Explanation

Given, `vec P= hat i +3 hat j`


`vec Q= 4hat i +5 hat j+6hat k`


`vec (PQ)=4hat i +5 hat j+6hat k-(hat i +3 hat j)`


`vec (PQ)=3hat i +2 hat j+6hat k`


`=(vec (PQ))/(|vec (PQ)|)`


`=(3hat i +2 hat j+6hat k)/(sqrt(3^2+2^2+6^2))`


`=(3hat i +2 hat j+6hat k)/(sqrt(9+4+36))`


`=(3hat i +2 hat j+6hat k)/(sqrt(49))`


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