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 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 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 distance of 3 units from the origin and has 2,2,-1 as the direction ratios of a normal to it.Also find the position vector of the foot of the prependicular drown from the origin 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 a parametric form of vector equation of a plane which is at a distance of 7 units from the origin having3,-4,5 as direction ratios of a normal to it .

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 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 7 units from the origin and normal to the vector 3hati+5hatj-6hatk