6 Find the equations of the planes that passes through three points.
(b) (1, 1, 0), (1, 2, 1), (– 2, 2, – 1)
The equation of the plane which passes through the three points is given by;
As determinant value is not equal to zero hence there must be a plane that passes through the points A, B, and C.
Finding the equation of the plane through the points,
After substituting the values in the determinant we get,
So, this is the required Cartesian equation of the plane.
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