सदिश `overline(PQ)`, के अनुदिश मात्रक सदिश ज्ञात कीजिए जहाँ बिंदु P और Q क्रमश: (1,2,3) और (4,5,6) है!

Explanation

The given points are `P(1,2,3) and Q(4, 5, 6)`. Therefore,
`" "vec(PQ)=(4-1)hati+(5-2)hatj+(6-3)hatk=3hati+3hatj+3hatk`
`" "|vec(PQ)|=sqrt(3^(2)+3^(2)+3^(2))=sqrt(9+9+9)=sqrt(27)=3sqrt(3)`
Hence, the unit vector in the direction of `vec(PQ)` is
`" "(vec(PQ))/(|vec(PQ)|)=(3hati+3hatj+3hatk)/(3sqrt(3))=(1)/(sqrt(3))hati+(1)/(sqrt(3))hatj+(1)/(sqrt(3))hatk`