Find the distance of the point (2, 0, 4) from the plane whose equation is `x + y - 2z =0.`

Explanation

To find the distance of the point \( (2, 0, 4) \) from the plane given by the equation \( x + y - 2z = 0 \), we can use the formula for the distance \( D \) from a point \( (x_1, y_1, z_1) \) to a plane given by the equation \( ax + by + cz = d \):

\[ D = \frac{|ax_1 + by_1 + cz_1 - d|}{\sqrt{a^2 + b^2 + c^2}} \]

### Step 1: Identify the coefficients from the plane equation
The equation of the plane is \( x + y - 2z = 0 \). We can rewrite this in the standard form \( ax + by + cz = d \):
...