Question
Establish by vector method the equation of the plane making intercepts a. b, c on the co-ordinate axes in the form of 
.
Solution
Let the equation of plane be
...(1)
Let the plane meet the axes in A, B, C respectively such that OA = a, OB = b, OC = c
A with position
lies on the plane (1)
...(2)
Similarly,
...(3)
and
...(4)
Now (1) can be written as
which is required equation of plane x.
...(1)Let the plane meet the axes in A, B, C respectively such that OA = a, OB = b, OC = c
A with position
lies on the plane (1) ...(2)Similarly,
...(3)and
...(4)Now (1) can be written as
which is required equation of plane x.
