Find the equation of the plane upon which the length of normal from origin is 10 and direction ratios of this normal are 3,2,6

Find the equation of the plane if feet of Normal from origin on the plane is (a,b,c) .

Find the equation of the straight line upon which the length of the perpendicular from the origin is 5 and the slope of this perpendicular is (3)/(4).

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and the slope of this perpendicular is (5)/(12) .

Find the direction ratios of normal to plane 3x+2y+6z=18

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the point (1,-1,2) having 2,3,2 as direction ratios of normal to the plane.

Find the intercepts of tehplane 3x+4y-7z=84 on the axes. Also find the length of perpendicular from origin to this plane and direction cosines of this normal.

Find the vector equation of a plane which is at a distance of 6 units from the origin and has 2, -1, 2 as the direction ratios of a normal to it. Also, find the coordinates of the foot of the normal drawn from the origin.

Find the normal form of the plane 2x+3y-z = 5 . Also find the length of perpendicular from origin and d.c's of the normal to the plane.

Find the Cartesian equations of a plane passing through A (1,2,3) and directions ratios of it's normal are 3,2,5.