The equation of the plane which makes intercepts a, b, and c with the x, y , and z axis respectively is :

Putting the values of a, b and c

Required equation of the plane:

⟹

⟹ –2x + 4y + 3z = 12

We know, the distance of point (x₁,y₁,z₁) from the plane

is given by:

⟹ Distance from the origin i.e. (0, 0, 0) :

⟹ Required Distance =

⟹ The length of the perpendicular from the origin on the plane = units