XY - plane divides the line joining `A(x_(1),y_(1),z_(1))` and `B(x_(2),y_(2),z_(2))` in the ratio

ZX-Plane divides the line joining A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) in the ratio =

Show that the plane ax+by+cz+d=0 divides the line joining the points (x_(1),y_(1),z_(1)) and (x_(2),y_(2),z_(2)) in the ratio (ax_(1)+by_(1)+cz_(1)+d)/(ax_(2)+by_(2)+cz_(2)+d)

If ' P' divides the line segment joining A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) in the ratio m : n internally then P=

X-axis divides the line segment joining (x_(1),y_(1)) and (x_(2),y_(2)) in the ratio

Show that the plane ax+by+cz+d=0 divides the line joining (x_1, y_1, z_1) and (x_2, y_2, z_2) in the ratio of (-(ax_1+ay_1+cz_1+d)/(ax_2+by_2+cz_2+d))

The midpoint of the line segment joining A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) is

The distance between the points A(x_(1),y_(1),z_(1)) and B(x_(2),y_(2),z_(2)) is AB=

If planes are drawn parallel to the coordinate planes through the points P(x_(1),y_(1),z_(1)) and Q(x_(2),y_(2),z_(2)) then the lengths of the eges of the parallelopied formed are

Planes r drawn parallel to the coordinate planes through the point P(x_(1),y_(1),z_(1) and Q(x_(2),y_(2),z_(2)). Find the length of the edges of the parallelepiped so formed.

The line segment joining A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) is divided by XY - plane in the ratio