Find the vector equation of a plane at a distance of 5 units from the origin and has ` hat i` as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

Find the vector and Cartesian equations of a plane which is at a distance of 5 units from the origin and which has hatk as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 5 units from the origin and has as the direction numbers of a normal to the plane.

Find the vector equation of a plane which is at a distance of 5 units from the origin and has -1,2,2 as the direction ratios of a normal to it.

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 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 vector equation of a plane which is at a distance of 5 units from the origin and which is normal to the vector hat i-2 hat j-2 hat kdot