Page No 493:
Question 3:
Find the Cartesian equation of the following planes:
(a)
(b) ![]()
(c) ![]()
(a) It is given that equation of the plane is
![]()
For any arbitrary point P (x, y, z) on the plane, position vector
is given by, ![]()
Substituting the value of
in equation (1), we obtain

This is the Cartesian equation of the plane.
(b) ![]()
For any arbitrary point P (x, y, z) on the plane, position vector
is given by, ![]()
Substituting the value of
in equation (1), we obtain

This is the Cartesian equation of the plane.
(c) ![]()
For any arbitrary point P (x, y, z) on the plane, position vector
is given by, ![]()
Substituting the value of
in equation (1), we obtain

This is the Cartesian equation of the given plane.