If a plane passes through the point `(-3,- 3,1)` and is normal to the line joining the points `(2, 6, 1)` and `(1, 3, 0),` find its equation.

Find the vector and Cartesian equations of a plane passing through the point (1, -1, 1) and normal to theline joining the point (1, 2, 5) and (-1, 3, 1) .

Find the equation in Cartesian form of the plane passing through the point (3,\ -3,\ 1) and normal to the line joining the points (3, 4, -1) and (2, -1, 5).

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

A plane passes through the point (-2, -2, 2) and contains the line joining the points (1, -1, 2) and (1, 1, 1). Then the image of (-7, 2, 3) in the plane is

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 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 slope of the line passing through the points (3, 4) and (1, 2). Also find its equation.

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 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).