Find the Cartesian form of the equation of the following planes :
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
Put and
in equation (a) we get,
Put
We have,
⇒2y – z = 1
Hence, the required equation of plane is 2y – z = 1