A plane meets the coordinate axes at A, B and C respectively such that the centroid of the triangle ABC is (1, – 2, 3). Find the equation of the plane.

Question

Philoid · Accepted Answer

It is given in the question that the plane meets the axes in A, B, C

And the centroid is (1, – 2, 3)

We know that, the equation of the plane whose intercepts on the coordinate axes a, b, c is given by the equation

So we have now

Now substitute a, b, c

We get

Hence this is the equation.