A plane is formed by the axes whose centroid is \(\left(2, -\frac{2}{3}, \frac{1}{2}\right)\). Find the distance of the plane from the origin.
Show Hint
Always simplify the intercept form to general form \(Ax + By + Cz = D\) before using the distance formula. Fractions in the square root denominator are a common source of calculation errors.