Write the distance of the plane from the origin.

The plane is given as, .

We can write the equation of the plane in general form as,

2x - y + 2z - 12=0 …………… (1)

Now, to get the normal form of a plane given in general form as, Ax + By + Cz + D=0 where …… (2), we have to divide the equation (1) by , where is the normal vector given as,

Now,

Comparing equation (1) with equation (2), we get, D= - 12

So, the distance between the plane and the origin (using formula)

p=4

The distance between the plane and the origin is 4 units.