The Distance from a Point to a Plane
Let us calculate the distance from a point
Since point К belongs to the required plane, its coordinates must satisfy the equation of the plane, and the expression in the parentheses vanishes. Thus, the distance from the given point to the plane can be calculated by the formula
if the plane is given by a normal equation, then, considering the formula for the normalizing factor, we obtain
Example. Find the distance from the point М 1(5;2;4) to the plane
|
to a plane
.
М1
; (26)
. (
) 
,
.
