Find the equation of the plane passing through the following points:
(1, 1, 1), (1, – 1, 2) and (– 2, – 2, 2)

Question

Find the equation of the plane passing through the following points:(1, 1, 1), (1, – 1, 2) and (– 2, – 2, 2)

Philoid · Accepted Answer

If the given points are then the equation of the plane passing through these three points is given by the following equation.

Now substitute the values given

Now apply the determinant

(x – 1)(– 2 + 3) – (y – 1)(0 + 3) + (z – 1)(0 – 6) = 0

(x – 1)1 – (y – 1)3 + (z – 1)(– 6) = 0

x – 3y – 6z + 8 = 0

this is the equation of plane.