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