$A$ point $P(5, -1)$ divides the line segment joining points $A(11, -3)$ and $B(x, y)$ in the ratio $2:3$. Find the coordinates of point $B$.

Find the coordinates of the point which divides the line segment joining the points $(1, -2, 3)$ and $(3, 4, -5)$ in the ratio $2:3$ externally.

$A(1, 2, 3)$,$B(2, 3, 1)$,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

If $A(1, 2, -1)$ and $B(-1, 0, 1)$ are given,then the coordinates of point $P$ which divides the line segment $AB$ externally in the ratio $1:2$ are:

Find the ratio in which the $YZ$-plane divides the line segment formed by joining the points $(-2, 4, 7)$ and $(3, -5, 8)$.

If the coordinates of the vertices of a $\triangle ABC$ are $A(7,6,4)$,$B(5,4,6)$,$C(3,2,0)$ and the bisector of $\angle BAC$ meets the side $BC$ at $D$,then the coordinates of $D$ are