Question

Find the distance between the points $(1,-8,3)$ and $(-3,-5,4)$.

Answer 1

Let the two points be $P(1,-8,3),Q(-3,-5,4)$

$PQ=\sqrt{(-3-1{)}^2+(-5+8{)}^2+(4-3{)}^2}$

$=\sqrt{(-4{)}^2+(3{)}^2+1^2}$

$=\sqrt{16+9+1}$

$PQ=\sqrt{26}$

Hence the distance between the two points is $\sqrt{26}$