Find the equation to the line through the point `(-4, -3)` and perpendicular to the line joining the points `(1, 3) and 2,7)`.

Find the equation of the line passing through the point (-4, -5) and perpendicular to the line joining the points (1, 2) and (5, 6).

Find the equation of the line passing through the point (5,2) and perpendicular to the line joining the points (2,3) and (3,-1).

Find the equation of the plane passing through the point (1,-2,1) and perpendicular to the line joining the point A(3,2,1) and B(1,4,2).

Find the equation of the plane passing through the point (2, -3, 1) and perpendicular to the line joining points (4, 5, 0) and (1, -2, 4).

Find the equation of the line passing through the point (1,-1,1) and perpendicular to the lines joining the points (4,3,2),(1,-1,0)a n d(1,2,-1),(2,1,1)dot

Find the equation of the plane passing through the point (-1,2,1) and perpendicular to the line joining the points (-3,1,2)a n d(2,3,4)dot Find also the perpendicular distance of the origin from this plane.

Find the equation of the plane passing through the point (2, ̶ 3, 1) and perpendicular to the line joining the points ( 4, 5, 0) and ( 1, ̶ 2, 4).

Find the equation of a line passes through the point (-2,1) and perpendicular to the line 3x+y=5 .

Find the equation of the plane passing through the point A(1,\ 2,\ 1) and perpendicular to the line in joining the points P(1,\ 4,\ 2)a n d\ Q(2,\ 3,5)dot

Find the equation of a line passing through the point (-1,-2) and parallel to the line joining the points (2,-3) and (3,-2)