A plane passing through the line joining the points A(1, -3, 5) and B(4, 1, -1) is turned about AB it passes through the origin. The equation of the plane in the new position is:

A plane passing through the line joining the points A(1, -3, 5) and B(4, 1, -1) is turned about AB till it passes through the origin. The equation of the plane in the new position is

If a line joining the points (1,-1,2)and(3,2,-1) is perpendicular to the plane passing through the origin then the vector equation of the palne is

A plane bisects the line segment joining the points (1,2,3) and (-3,4,5) at right angles. Then this plane also passes through the point

A plane bisects the line segment joining the points (1,2,3) and (-3,4,5) at right angles. Then this plane also passes through the point

The equation of the plane passing through the mid point of the line points (1, 2, 3) and (3, 4, 5) and perpendicular to it is

The equation of the plane passing through the mid point of the line points (1, 2, 3) and (3, 4, 5) and perpendicular to it is

The equation of the plane passing through the mid point of the line points (1, 2, 3) and (3, 4, 5) and perpendicular to it is

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.