Find the Cartesian form of the equation of the following planes :

(i) We have,

Now, we know that represents a plane passing through a point having position vector and parallel to the vectors .

Clearly, .

Now, the plane is perpendicular to ,

Hence

We know that vector equation of a plane in scalar product form is given as ……(a)

Put and in equation (a) we get,

Put

We have,

⇒x – y + z = 2

Hence, the required equation is x – y + z = 2