52. Find the equations of the line passing through the point with coordinates $(3,-2,4)$ and perpendicular to the plane given by the equation $5 x-3 y+3 z=10$.

53*. Prove that if the coordinates of any point are substituted into the left side of the normal equation of a plane, written in the form:

$$
x \cos \alpha + y \cos \beta + z \cos \gamma - p = 0
$$

the result is a number whose absolute value is the distance from this point to the plane. This number is positive if the point and the origin are on opposite sides of the plane, and negative otherwise.
52. Using the conclusions from the previous problem, we conclude that the coefficients $m, n, p$ are proportional to the numbers: $5, -3, 3$. From this, we obtain the equation:

$$
\frac{x-3}{5}=\frac{y+2}{-3}=\frac{z-4}{3}
$$