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Direction ratio of plane with x axis given perpendicular distance between plane and point Solution

STEP 0: Pre-Calculation Summary
Formula Used
direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X Coordinate in 3D Space)
a1_plane = (d)+(CoefConstant_plane1)-(b2*Y)-(c3*Z)/(X)
This formula uses 7 Variables
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)
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 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)
X Coordinate in 3D Space - X Coordinate in 3D Space is defined as the a point on x axis. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Perpendicular Distance: 3 Centimeter --> 0.03 Meter (Check conversion here)
Constant Coefficient of Plane1: 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
X Coordinate in 3D Space: 2 Hundred --> 2 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a1_plane = (d)+(CoefConstant_plane1)-(b2*Y)-(c3*Z)/(X) --> (0.03)+(2)-(0.2*5)-(0.5*3)/(2)
Evaluating ... ...
a1_plane = 0.28
STEP 3: Convert Result to Output's Unit
0.28 Hundred --> No Conversion Required
FINAL ANSWER
0.28 Hundred <-- Direction ratio 1 of plane
(Calculation completed in 00.015 seconds)

9 Direction ratio Calculators

Direction ratio of plane with x axis given perpendicular distance between plane and point
direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X Coordinate in 3D Space) Go
Direction ratio of plane with z axis given perpendicular distance between plane and point
direction_ratio_3_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 1*X Coordinate in 3D Space)-(Direction Ratio 2*Y Coordinate in 3D Space)/(Z Coordinate in 3D Space) Go
Direction ratio of plane with y axis given perpendicular distance between plane and point
direction_ratio_2_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 1*X Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(Y Coordinate in 3D Space) Go
Direction ratio given projection of line on x axis and length of line
direction_ratio_1 = (X2 Coordinate in 3D Space-X1 Coordinate in 3D Space)/Length Go
Direction ratio given projection of line on y axis and length of line
direction_ratio_2 = (Y2 Coordinate in 3D Space-Y1 Coordinate in 3D Space)/Length Go
Direction ratio given projection of line on z axis and length of line
direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length Go
Direction ratio of a line given z coordinates of end points of line
direction_ratio_3_of_line1 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space) Go
Direction ratio of a line given y coordinates of end points of line
direction_ratio_2_of_line1 = (Y2 Coordinate in 3D Space-Y1 Coordinate in 3D Space) Go
Direction ratio of a line given x coordinates of end points of line
direction_ratio_1_of_line1 = (X2 Coordinate in 3D Space-X1 Coordinate in 3D Space) Go

Direction ratio of plane with x axis given perpendicular distance between plane and point Formula

direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X Coordinate in 3D Space)
a1_plane = (d)+(CoefConstant_plane1)-(b2*Y)-(c3*Z)/(X)

What is direction cosine?

Direction cosines of a vector are the cosines of the angles between the vector and the three coordinate axes. Equivalently, they are the contributions of each component of the basis to a unit vector in that direction

How to Calculate Direction ratio of plane with x axis given perpendicular distance between plane and point?

Direction ratio of plane with x axis given perpendicular distance between plane and point calculator uses direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X Coordinate in 3D Space) to calculate the Direction ratio 1 of plane, The Direction ratio of plane with x axis given perpendicular distance between plane and point formula is defined as a number proportional to direction cosine. Direction ratio 1 of plane and is denoted by a1_plane symbol.

How to calculate Direction ratio of plane with x axis given perpendicular distance between plane and point using this online calculator? To use this online calculator for Direction ratio of plane with x axis given perpendicular distance between plane and point, enter Perpendicular Distance (d), Constant Coefficient of Plane1 (CoefConstant_plane1), Direction Ratio 2 (b2), Y Coordinate in 3D Space (Y), Direction Ratio 3 (c3), Z Coordinate in 3D Space (Z) & X Coordinate in 3D Space (X) and hit the calculate button. Here is how the Direction ratio of plane with x axis given perpendicular distance between plane and point calculation can be explained with given input values -> 0.28 = (0.03)+(2)-(0.2*5)-(0.5*3)/(2).

FAQ

What is Direction ratio of plane with x axis given perpendicular distance between plane and point?
The Direction ratio of plane with x axis given perpendicular distance between plane and point formula is defined as a number proportional to direction cosine and is represented as a1_plane = (d)+(CoefConstant_plane1)-(b2*Y)-(c3*Z)/(X) or direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X 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, Constant Coefficient of Plane1 is defined as a number which is constant in plane of form lx + my + nz = p, 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 & X Coordinate in 3D Space is defined as the a point on x axis.
How to calculate Direction ratio of plane with x axis given perpendicular distance between plane and point?
The Direction ratio of plane with x axis given perpendicular distance between plane and point formula is defined as a number proportional to direction cosine is calculated using direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X Coordinate in 3D Space). To calculate Direction ratio of plane with x axis given perpendicular distance between plane and point, you need Perpendicular Distance (d), Constant Coefficient of Plane1 (CoefConstant_plane1), Direction Ratio 2 (b2), Y Coordinate in 3D Space (Y), Direction Ratio 3 (c3), Z Coordinate in 3D Space (Z) & X Coordinate in 3D Space (X). With our tool, you need to enter the respective value for Perpendicular Distance, Constant Coefficient of Plane1, Direction Ratio 2, Y Coordinate in 3D Space, Direction Ratio 3, Z Coordinate in 3D Space & X 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 Direction ratio 1 of plane?
In this formula, Direction ratio 1 of plane uses Perpendicular Distance, Constant Coefficient of Plane1, Direction Ratio 2, Y Coordinate in 3D Space, Direction Ratio 3, Z Coordinate in 3D Space & X Coordinate in 3D Space. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • direction_ratio_1_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 2*Y Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(X Coordinate in 3D Space)
  • direction_ratio_3_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 1*X Coordinate in 3D Space)-(Direction Ratio 2*Y Coordinate in 3D Space)/(Z Coordinate in 3D Space)
  • direction_ratio_2_of_plane = (Perpendicular Distance)+(Constant Coefficient of Plane1)-(Direction Ratio 1*X Coordinate in 3D Space)-(Direction Ratio 3*Z Coordinate in 3D Space)/(Y Coordinate in 3D Space)
  • direction_ratio_1 = (X2 Coordinate in 3D Space-X1 Coordinate in 3D Space)/Length
  • direction_ratio_2 = (Y2 Coordinate in 3D Space-Y1 Coordinate in 3D Space)/Length
  • direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length
  • direction_ratio_3_of_line1 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)
  • direction_ratio_2_of_line1 = (Y2 Coordinate in 3D Space-Y1 Coordinate in 3D Space)
  • direction_ratio_1_of_line1 = (X2 Coordinate in 3D Space-X1 Coordinate in 3D Space)
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