# Distance between a point and a plane

The distance from a point to a plane is the distance from a point to a point where one of them is given, and the other is on the plane and is a projection on a given plane. To build a projection on a plane, it is necessary to lower the perpendicular to the plane.

.**The distance between a point and a plane knowing the coordinates of the point and the equation of the plane**

**Enter the coordinates of the point M:**

**x**

_{1}=**y**

_{1}=**z**

_{1}=**Enter the equation of the plane:**

***X +**

***Y -**

***Z -**

**= 0**

**d=**

### Examples of solving problems using a calculator

*Example #1: * find the distance between the plane 2x + 5y – 6z – 7 = 0 and the point M(1, 3, 6).**Ответ:** the distance from the point to the plane is 7.44.

*Example #2: * find the distance between the plane 3x + 6y – 8z – 9 = 0 and the point M(2, 5, 8).**Answer:** the distance from the point to the plane is 10.44.