A plane meets the coordinate axes #A, B, C# such that the centroid of the triangle #ABC# is the point #(a, b, c)#, show that the equation of the plane is #x/a+y/b+z/c=3#?
1 Answer
Jul 7, 2017
See the proof below
Explanation:
The equation of the plane is
By the definition of the centroid
Therefore,
The equation of the plane becomes
So,