If $A=(1, 2, 3)$,$B=(3, 4, 7)$,and $C=(-3, -2, -5)$ are three points,then the ratio in which the point $C$ divides $AB$ externally is

$A(1, 2, 3)$, $B(2, 3, 1)$, and $C(3, 1, 2)$ are three points. If the point $P$ divides $AB$ in the ratio $1:2$ and the point $Q$ divides $BC$ in the ratio $-2:3$, then the distance between $P$ and $Q$ is

Points $A(3, 2, 4)$, $B\left(\frac{33}{5}, \frac{28}{5}, \frac{38}{5}\right)$ and $C(9, 8, 10)$ are given. The ratio in which $B$ divides $\overline{AC}$ is

If $P$ divides the line segment joining the points $A(1, 2, -1)$ and $B(-1, 0, 1)$ externally in the ratio $1: 2$ and $Q = (1, 3, -1)$,then $PQ =$

$XOZ$-plane divides the line segment joining the points $(2, 3, 1)$ and $(6, 7, 1)$ in the ratio: (in $: 7$)

The ratio in which the line joining the points $(a, b, c)$ and $(-a, -c, -b)$ is divided by the $xy$-plane is