Find the equation of the plane which is at a distance of 5 units fom the origin and perpendiculat to `2hati-3hatj+6hatk`

Find th equation of the plane which is at distance of 8 units from origin and the perpendicular vector from origin to this plane is (2hati+hatj-2hatk) .

Find the equation of the plane which is at a distance of sqrt(29) units from origin and the perpendicular vector from origin to this plane is (4hati-2hatj+3hatk) .

Find the vector equation of the plane which is at a distance of 5 unit from origin and normal vector from origin is hati + 2hatj-2hatk .

Find the equation of plane which is at a distance (4)/(sqrt(14)) from the origin and is normal to vector 2hati+hatj-3hatk .

Find the vector and equation of a plane which is at a distance of 10 units from origin and normal vector from origin to this plane is 2hati-hatj+2hatk .

Find the equation of the plane passing through the point hati-hatj+hatk and perpendicular to the vectro 3hati-hatj-2hatk and show that the point 2hati+4hatj lies on the plane.

Find the equation of the plane through the point 2hati+3hatj-hatk and perpendicular to vector 3hati+3hatj+7hatk. Determine the perpendicular distance of this plane from the origin.

Find the equation of a plane passing through origin and which is perpendicular to a normal vector 2hati+ hatj -hatk . (Cartesian form )

Find the equation of the plane which contains the line of intersection of the planes vecr.(hati+2hatj+3hatk)-4=0, vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr.(5hati+3hatj-6hatk)+8=0

Find the equation of the plane through the intersection of the planes. vecr. (hati+3hatj-hatk)=9 and vecr. (2hati-hatj+hatk)=3 and passing through the origin.