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