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Distance from origin given standard equation of plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2))
D1 = (CoefConstant_plane2)-((L)*sqrt((a1)^2+(b2)^2+(c3)^2))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
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)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
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
Length: 3 Meter --> 3 Meter 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
D1 = (CoefConstant_plane2)-((L)*sqrt((a1)^2+(b2)^2+(c3)^2)) --> (8)-((3)*sqrt((0.7)^2+(0.2)^2+(0.5)^2))
Evaluating ... ...
D1 = 5.35047174010165
STEP 3: Convert Result to Output's Unit
5.35047174010165 Meter --> No Conversion Required
FINAL ANSWER
5.35047174010165 Meter <-- Distance 1
(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

Distance from origin given standard equation of plane Formula

distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2))
D1 = (CoefConstant_plane2)-((L)*sqrt((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

How to Calculate Distance from origin given standard equation of plane?

Distance from origin given standard equation of plane calculator uses distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2)) to calculate the Distance 1, Distance from origin given standard equation of plane formula is defined as is a constant number of plane of form ax + by + cz + d = 0. Distance 1 and is denoted by D1 symbol.

How to calculate Distance from origin given standard equation of plane using this online calculator? To use this online calculator for Distance from origin given standard equation of plane, enter Constant Coefficient of Plane2 (CoefConstant_plane2), Length (L), Direction Ratio 1 (a1), Direction Ratio 2 (b2) & Direction Ratio 3 (c3) and hit the calculate button. Here is how the Distance from origin given standard equation of plane calculation can be explained with given input values -> 5.350472 = (8)-((3)*sqrt((0.7)^2+(0.2)^2+(0.5)^2)).

FAQ

What is Distance from origin given standard equation of plane?
Distance from origin given standard equation of plane formula is defined as is a constant number of plane of form ax + by + cz + d = 0 and is represented as D1 = (CoefConstant_plane2)-((L)*sqrt((a1)^2+(b2)^2+(c3)^2)) or distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((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, Length is the measurement or extent of something from end to end, 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 from origin given standard equation of plane?
Distance from origin given standard equation of plane formula is defined as is a constant number of plane of form ax + by + cz + d = 0 is calculated using distance_1 = (Constant Coefficient of Plane2)-((Length)*sqrt((Direction Ratio 1)^2+(Direction Ratio 2)^2+(Direction Ratio 3)^2)). To calculate Distance from origin given standard equation of plane, you need Constant Coefficient of Plane2 (CoefConstant_plane2), Length (L), 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, Length, 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 Distance 1?
In this formula, Distance 1 uses Constant Coefficient of Plane2, Length, Direction Ratio 1, Direction Ratio 2 & Direction Ratio 3. 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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