Enter the equation of a plane and the coordinates of a point to calculate the distance from the point to the plane.
Distance from point to plane formula
The following equation can be used to calculate the distance between a plane and point.
d = |A·X + B·Y + C·Z + D/ √A2 + B2 + C2
- Where D is the distance
- A, B, C and D are constants of the plane equation
- X, Y, and Z are the coordinate points of the point
Distance From Point to Plane Definition
The distance from a point to plane is defined as the shortest distance from a single point to any point on a plan.
How to calculate the distance from a point to a plane?
How to calculate the distance from a point to a plane
- First, determine the equation of the plane.
A 3-dimensional plane can be represented using an equation in the form AX + BY + CZ + D.
- Next, gather the constants from the equation in stead 1.
Separate A, B, and C in the equation determined in step 1.
- Next, determine the coordinates of the point
Measure or calculate the coordinates of the point x,y, and z.
- Calculate the distance
Calculate the distance from the point to plane using the equation above and information from steps 1-3.
FAQ
How can you calculate a distance from a point to a plane when the plane is everywhere?
Great question. The answer to this is that you can only calculate the average distance to the plane which will be a point directly perpendicular to the point and plane.
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