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Constant coefficient of plane given perpendicular distance between plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(Direction Ratio 1* X Coordinate in 3D Space)+(Direction Ratio 2* Y Coordinate in 3D Space)+(Direction Ratio 3* Z Coordinate in 3D Space))
CoefConstant_plane1 = modulus((d)+(a1* X)+(b2* Y)+(c3* Z))
This formula uses 2 Functions, 7 Variables
Functions Used
mod - Modulo function, mod(dividend, divisor)
modulus - Modulus of number, modulus
Variables Used
Perpendicular Distance - The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both. (Measured in Centimeter)
Direction Ratio 1 - Direction Ratio 1 is ratio proportional to direction cosine w.r.to x axis. (Measured in Hundred)
X Coordinate in 3D Space - X Coordinate in 3D Space is defined as the a point on x axis. (Measured in Hundred)
Direction Ratio 2- Direction Ratio 2 is ratio proportional to direction cosine w.r.to y axis.
Y Coordinate in 3D Space - Y Coordinate in 3D Space is defined as the a point on y axis. (Measured in Hundred)
Direction Ratio 3 - Direction Ratio 3 is ratio proportional to direction cosine w.r.to z axis. (Measured in Hundred)
Z Coordinate in 3D Space - Z Coordinate in 3D Space is defined as the a point on z axis. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Perpendicular Distance: 3 Centimeter --> 0.03 Meter (Check conversion here)
Direction Ratio 1: 0.7 Hundred --> 0.7 Hundred No Conversion Required
X Coordinate in 3D Space: 2 Hundred --> 2 Hundred No Conversion Required
Direction Ratio 2: 0.2 --> No Conversion Required
Y Coordinate in 3D Space: 5 Hundred --> 5 Hundred No Conversion Required
Direction Ratio 3: 0.5 Hundred --> 0.5 Hundred No Conversion Required
Z Coordinate in 3D Space: 3 Hundred --> 3 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CoefConstant_plane1 = modulus((d)+(a1* X)+(b2* Y)+(c3* Z)) --> modulus((0.03)+(0.7* 2)+(0.2* 5)+(0.5* 3))
Evaluating ... ...
CoefConstant_plane1 = 3.93
STEP 3: Convert Result to Output's Unit
3.93 Hundred --> No Conversion Required
FINAL ANSWER
3.93 Hundred <-- Constant Coefficient of Plane1
(Calculation completed in 00.016 seconds)

6 Coefficient and Ratio in 3D Space Calculators

Constant coefficient of plane given perpendicular distance between plane
constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(Direction Ratio 1* X Coordinate in 3D Space)+(Direction Ratio 2* Y Coordinate in 3D Space)+(Direction Ratio 3* Z Coordinate in 3D Space)) Go
Distance from origin given standard equation of plane
distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2)) Go
Constant coefficient of sphere given centre and radius of sphere
constant_coefficient_of_sphere = (X Coordinate of Centre of Sphere)^2+ (Y Coordinate of Centre of Sphere)^2+ (Z Coordinate of Center of Sphere)^2+ (Radius)^2 Go
Ratio in which line joining two points is divided by plane xy
ratio1 = -(Z1 Coordinate in 3D Space/Z2 Coordinate in 3D Space) Go
Ratio in which line joining two points is divided by plane zx
ratio1 = -(Y1 Coordinate in 3D Space/Y2 Coordinate in 3D Space) Go
Ratio in which line joining two points is divided by plane yz
ratio1 = -(X1 Coordinate in 3D Space/X2 Coordinate in 3D Space) Go

Constant coefficient of plane given perpendicular distance between plane Formula

constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(Direction Ratio 1* X Coordinate in 3D Space)+(Direction Ratio 2* Y Coordinate in 3D Space)+(Direction Ratio 3* Z Coordinate in 3D Space))
CoefConstant_plane1 = modulus((d)+(a1* X)+(b2* Y)+(c3* Z))

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.

How to Calculate Constant coefficient of plane given perpendicular distance between plane?

Constant coefficient of plane given perpendicular distance between plane calculator uses constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(Direction Ratio 1* X Coordinate in 3D Space)+(Direction Ratio 2* Y Coordinate in 3D Space)+(Direction Ratio 3* Z Coordinate in 3D Space)) to calculate the Constant Coefficient of Plane1, Constant coefficient of plane given perpendicular distance between plane formula is defined as is a constant number in the plane of lx + my + nz = p form. Constant Coefficient of Plane1 and is denoted by CoefConstant_plane1 symbol.

How to calculate Constant coefficient of plane given perpendicular distance between plane using this online calculator? To use this online calculator for Constant coefficient of plane given perpendicular distance between plane, enter Perpendicular Distance (d), Direction Ratio 1 (a1), X Coordinate in 3D Space (X), Direction Ratio 2 (b2), Y Coordinate in 3D Space (Y), Direction Ratio 3 (c3) & Z Coordinate in 3D Space (Z) and hit the calculate button. Here is how the Constant coefficient of plane given perpendicular distance between plane calculation can be explained with given input values -> 3.93 = modulus((0.03)+(0.7* 2)+(0.2* 5)+(0.5* 3)).

FAQ

What is Constant coefficient of plane given perpendicular distance between plane?
Constant coefficient of plane given perpendicular distance between plane formula is defined as is a constant number in the plane of lx + my + nz = p form and is represented as CoefConstant_plane1 = modulus((d)+(a1* X)+(b2* Y)+(c3* Z)) or constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(Direction Ratio 1* X Coordinate in 3D Space)+(Direction Ratio 2* Y Coordinate in 3D Space)+(Direction Ratio 3* Z Coordinate in 3D Space)). The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both, Direction Ratio 1 is ratio proportional to direction cosine w.r.to x axis, X Coordinate in 3D Space is defined as the a point on x axis, Direction Ratio 2 is ratio proportional to direction cosine w.r.to y axis, Y Coordinate in 3D Space is defined as the a point on y axis, Direction Ratio 3 is ratio proportional to direction cosine w.r.to z axis & Z Coordinate in 3D Space is defined as the a point on z axis.
How to calculate Constant coefficient of plane given perpendicular distance between plane?
Constant coefficient of plane given perpendicular distance between plane formula is defined as is a constant number in the plane of lx + my + nz = p form is calculated using constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(Direction Ratio 1* X Coordinate in 3D Space)+(Direction Ratio 2* Y Coordinate in 3D Space)+(Direction Ratio 3* Z Coordinate in 3D Space)). To calculate Constant coefficient of plane given perpendicular distance between plane, you need Perpendicular Distance (d), Direction Ratio 1 (a1), X Coordinate in 3D Space (X), Direction Ratio 2 (b2), Y Coordinate in 3D Space (Y), Direction Ratio 3 (c3) & Z Coordinate in 3D Space (Z). With our tool, you need to enter the respective value for Perpendicular Distance, Direction Ratio 1, X Coordinate in 3D Space, Direction Ratio 2, Y Coordinate in 3D Space, Direction Ratio 3 & Z Coordinate in 3D Space 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 Constant Coefficient of Plane1?
In this formula, Constant Coefficient of Plane1 uses Perpendicular Distance, Direction Ratio 1, X Coordinate in 3D Space, Direction Ratio 2, Y Coordinate in 3D Space, Direction Ratio 3 & Z Coordinate in 3D Space. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • constant_coefficient_of_plane1 = modulus((Perpendicular Distance)+(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_sphere = (X Coordinate of Centre of Sphere)^2+ (Y Coordinate of Centre of Sphere)^2+ (Z Coordinate of Center of Sphere)^2+ (Radius)^2
  • distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2))
  • ratio1 = -(Z1 Coordinate in 3D Space/Z2 Coordinate in 3D Space)
  • ratio1 = -(Y1 Coordinate in 3D Space/Y2 Coordinate in 3D Space)
  • ratio1 = -(X1 Coordinate in 3D Space/X2 Coordinate in 3D Space)
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