Distance between two planes
Definition. The distance between two planes is equal to length of the perpendicular lowered from a point on a plane.
Distance between two planes formula
If Ax + By + Cz + D1 = 0 and Ax + By + Cz + D2 = 0 is a plane equation, then distance between planes can be found using the following formula
Examples of tasks with distance between two planes
Example 1.To find distance between planes 2x + 4y - 4z - 6 = 0 and x + 2y - 2z + 9 = 0.
Solution. Let's check up, whether planes are parallel, for this purpose we will multiply the equation of the second plane on 22x + 4y - 4z + 18 = 0
As planes are parallel than for calculation distance between planes we use the formula:
Answer: distance from plane to plane is equal to 4.
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