Find a unit vector in the direction of `vec(PQ)`, where P and Q have coordinates (5, 0, 8) and (3, 3, 2) respectively.

Explanation

Since, the coordinates of P and Q are (5, 0, 8) and (3, 3, 2), respectively.
`vec(PQ)=vec(OQ)-vec(OP)`
`=(3hati+3hatj+2hatk)-(5hati+0hatj+8hatj)`
`=-2hati+3hatj-6hatk` :. Unit vector in the direction of `vec(PQ)=(vec(PQ))/(|vec(PQ)|)=(-2hati+3hatj-6hatk)/(sqrt2^(2)+3^(2)+6^(2))`
`=(-2hati+3hatj-6hatk)/(sqrt49)=(-2hati+3hatj-6hatk)/(7)`