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Distance between 2 parallel planes Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2)
L = (CoefConstant_plane2-CoefConstant_plane1)/((a1)^2+(b2)^2+(c3)^2)
This formula uses 5 Variables
Variables Used
Constant Coefficient of Plane2 - Constant Coefficient of Plane2 is defined as a constant number d2 of plane2 of form ax + by + cz + d2 = 0. (Measured in Hundred)
Constant Coefficient of Plane1 - Constant Coefficient of Plane1 is defined as a number which is constant in plane of form lx + my + nz = p. (Measured in Hundred)
Direction Ratio 1 - Direction Ratio 1 is ratio proportional to direction cosine w.r.to x axis. (Measured in Hundred)
Direction Ratio 2- Direction Ratio 2 is ratio proportional to direction cosine w.r.to y axis.
Direction Ratio 3 - Direction Ratio 3 is ratio proportional to direction cosine w.r.to z axis. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Constant Coefficient of Plane2: 8 Hundred --> 8 Hundred No Conversion Required
Constant Coefficient of Plane1: 2 Hundred --> 2 Hundred No Conversion Required
Direction Ratio 1: 0.7 Hundred --> 0.7 Hundred No Conversion Required
Direction Ratio 2: 0.2 --> No Conversion Required
Direction Ratio 3: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (CoefConstant_plane2-CoefConstant_plane1)/((a1)^2+(b2)^2+(c3)^2) --> (8-2)/((0.7)^2+(0.2)^2+(0.5)^2)
Evaluating ... ...
L = 7.69230769230769
STEP 3: Convert Result to Output's Unit
7.69230769230769 Meter --> No Conversion Required
FINAL ANSWER
7.69230769230769 Meter <-- Length
(Calculation completed in 00.015 seconds)

7 Distance in 3D space Calculators

Distance between two points in 3D space
distance_between_two_points = sqrt((X2 coordinate of second point-X1 coordinate of first point)^2+(Y2 coordinate of second point-Y1 coordinate of first point)^2+(Z2 coordinate of first point-Z1 coordinate of first point)^2) Go
Distance between plane in normal formal and point
length = modulus((Direction Ratio 1*X Coordinate in 3D Space)+(Direction Ratio 2*Y Coordinate in 3D Space)+(Direction Ratio 3*Z Coordinate in 3D Space)-(Constant Coefficient of Plane1)) Go
Distance between 2 parallel planes
length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2) Go
Distance of point from origin
distance_1 = sqrt((X1 Coordinate in 3D Space)^2+ (Y1 Coordinate in 3D Space)^2+ (Z1 Coordinate in 3D Space)^2) Go
Length of line given direction ratio and projection of line with x axis
length = (Projection of line)/(Direction Ratio 1) Go
Length of line given direction ratio and projection of line with y axis
length = (Projection of line)/(Direction Ratio 2) Go
Length of line given direction ratio and projection of line with z axis
length = (Projection of line)/(Direction Ratio 3) Go

Distance between 2 parallel planes Formula

length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2)
L = (CoefConstant_plane2-CoefConstant_plane1)/((a1)^2+(b2)^2+(c3)^2)

What is plane?

A plane is a surface such that, if two points are taken on it, a straight line joining them lies wholly in the surface.The coefficient of x, y and z in the cartesian equation of a plane are the direction ratios of normal to the plane. NOTE : Please consider distance as positive or 0 in all cases.

How to Calculate Distance between 2 parallel planes?

Distance between 2 parallel planes calculator uses length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2) to calculate the Length, Distance between 2 parallel planes formula is defined as is length measured between 2 planes that are parallel to each othe. Length and is denoted by L symbol.

How to calculate Distance between 2 parallel planes using this online calculator? To use this online calculator for Distance between 2 parallel planes, enter Constant Coefficient of Plane2 (CoefConstant_plane2), Constant Coefficient of Plane1 (CoefConstant_plane1), Direction Ratio 1 (a1), Direction Ratio 2 (b2) & Direction Ratio 3 (c3) and hit the calculate button. Here is how the Distance between 2 parallel planes calculation can be explained with given input values -> 7.692308 = (8-2)/((0.7)^2+(0.2)^2+(0.5)^2).

FAQ

What is Distance between 2 parallel planes?
Distance between 2 parallel planes formula is defined as is length measured between 2 planes that are parallel to each othe and is represented as L = (CoefConstant_plane2-CoefConstant_plane1)/((a1)^2+(b2)^2+(c3)^2) or length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2). Constant Coefficient of Plane2 is defined as a constant number d2 of plane2 of form ax + by + cz + d2 = 0, Constant Coefficient of Plane1 is defined as a number which is constant in plane of form lx + my + nz = p, Direction Ratio 1 is ratio proportional to direction cosine w.r.to x axis, Direction Ratio 2 is ratio proportional to direction cosine w.r.to y axis & Direction Ratio 3 is ratio proportional to direction cosine w.r.to z axis.
How to calculate Distance between 2 parallel planes?
Distance between 2 parallel planes formula is defined as is length measured between 2 planes that are parallel to each othe is calculated using length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2). To calculate Distance between 2 parallel planes, you need Constant Coefficient of Plane2 (CoefConstant_plane2), Constant Coefficient of Plane1 (CoefConstant_plane1), Direction Ratio 1 (a1), Direction Ratio 2 (b2) & Direction Ratio 3 (c3). With our tool, you need to enter the respective value for Constant Coefficient of Plane2, Constant Coefficient of Plane1, Direction Ratio 1, Direction Ratio 2 & Direction Ratio 3 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length?
In this formula, Length uses Constant Coefficient of Plane2, Constant Coefficient of Plane1, Direction Ratio 1, Direction Ratio 2 & Direction Ratio 3. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • length = (Projection of line)/(Direction Ratio 1)
  • length = (Projection of line)/(Direction Ratio 2)
  • length = (Projection of line)/(Direction Ratio 3)
  • distance_1 = sqrt((X1 Coordinate in 3D Space)^2+ (Y1 Coordinate in 3D Space)^2+ (Z1 Coordinate in 3D Space)^2)
  • length = modulus((Direction Ratio 1*X Coordinate in 3D Space)+(Direction Ratio 2*Y Coordinate in 3D Space)+(Direction Ratio 3*Z Coordinate in 3D Space)-(Constant Coefficient of Plane1))
  • length = (Constant Coefficient of Plane2-Constant Coefficient of Plane1)/((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2)
  • distance_between_two_points = sqrt((X2 coordinate of second point-X1 coordinate of first point)^2+(Y2 coordinate of second point-Y1 coordinate of first point)^2+(Z2 coordinate of first point-Z1 coordinate of first point)^2)
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