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direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point Solution

STEP 0: Pre-Calculation Summary
Formula Used
direction_ratio_2 = (Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 3*z coordinate in 3D space)/(y coordinate in 3D space)
d2 = (d)+(p)-(d1*x)-(d3*z)/(y)
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 plane - constant coefficient of plane 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)
x coordinate in 3D space - x coordinate in 3D space is defined as the a point on x 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)
y coordinate in 3D space - y coordinate in 3D space is defined as the a point on y 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 plane: 2 Hundred --> 2 Hundred No Conversion Required
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 3: 0.5 Hundred --> 0.5 Hundred No Conversion Required
z coordinate in 3D space: 3 Hundred --> 3 Hundred No Conversion Required
y coordinate in 3D space: 5 Hundred --> 5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = (d)+(p)-(d1*x)-(d3*z)/(y) --> (0.03)+(2)-(0.7*2)-(0.5*3)/(5)
Evaluating ... ...
d2 = 0.33
STEP 3: Convert Result to Output's Unit
0.33 --> No Conversion Required
FINAL ANSWER
0.33 <-- Direction ratio 2
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Magnetic Field Due to a Straight Conductor
magnetic_field = ([Permeability-vacuum]*Electric Current/4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2)) Go
Force Between Parallel Wires
magnetic_force_per_unit_length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance) Go
Direction cosine w.r.to x axis given direction ratio 1,2 & 3
direction_cosine_with_respect_to_z_axis = (Direction ratio 1)/sqrt((Direction ratio 1)^2+(Direction ratio 2)^2+(Direction ratio 3)^2) Go
Direction cosine w.r.to y axis given direction ratio 1,2 & 3
direction_cosine_with_respect_to_y_axis = (Direction ratio 2)/sqrt((Direction ratio 1)^2+(Direction ratio 2)^2+(Direction ratio 3)^2) Go
Direction cosine w.r.to z axis given direction ratio 1,2 & 3
direction_cosine_with_respect_to_z_axis = (Direction ratio 3)/sqrt((Direction ratio 1)^2+(Direction ratio 2)^2+(Direction ratio 3)^2) Go
Magnetic Field on the Axis of a Ring
magnetic_field = ([Permeability-vacuum]*Electric Current*Radius^2)/(2*(Radius^2+Perpendicular Distance^2)^(3/2)) Go
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magnetic_field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance) Go
Chord length when radius and perpendicular distance are given
chord_length = sqrt(Radius^2-Perpendicular Distance^2)*2 Go
x1 coordinate of end point of line given direction ratio and x2 coordinate of other end of that line
x1_coordinate_in_3d_space = Direction ratio 1-x2 coordinate in 3D space Go
x2 coordinate of end point of line given direction ratio and x1 coordinate of other end of that line
x2_coordinate_in_3d_space = Direction ratio 1-x1 coordinate in 3D space Go
y1 coordinate of end point of line given direction ratio and y2 coordinate of other end of that line
y1_coordinate_in_3d_space = Direction ratio 1-y2 coordinate in 3D space Go

2 Other formulas that calculate the same Output

direction ratio w.r.to y axis given distance between 2 || planes & constant coefficients
direction_ratio_2 = sqrt((((constant coefficient of plane2- constant coefficient of plane)/Length)^2)- (Direction ratio 1)^2-(Direction ratio 3)^2) 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 of plane w.r.to y axis given ⊥ distance between plane and a point Formula

direction_ratio_2 = (Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 3*z coordinate in 3D space)/(y coordinate in 3D space)
d2 = (d)+(p)-(d1*x)-(d3*z)/(y)

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 w.r.to y axis given ⊥ distance between plane and a point?

direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point calculator uses direction_ratio_2 = (Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 3*z coordinate in 3D space)/(y coordinate in 3D space) to calculate the Direction ratio 2, The direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point formula is defined as a number proportional to direction cosine. Direction ratio 2 and is denoted by d2 symbol.

How to calculate direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point using this online calculator? To use this online calculator for direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point, enter Perpendicular Distance (d), constant coefficient of plane (p), Direction ratio 1 (d1), x coordinate in 3D space (x), Direction ratio 3 (d3), z coordinate in 3D space (z) and y coordinate in 3D space (y) and hit the calculate button. Here is how the direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point calculation can be explained with given input values -> 0.33 = (0.03)+(2)-(0.7*2)-(0.5*3)/(5).

FAQ

What is direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point?
The direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point formula is defined as a number proportional to direction cosine and is represented as d2 = (d)+(p)-(d1*x)-(d3*z)/(y) or direction_ratio_2 = (Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 3*z coordinate in 3D space)/(y 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 plane 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, x coordinate in 3D space is defined as the a point on x 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 and y coordinate in 3D space is defined as the a point on y axis.
How to calculate direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point?
The direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point formula is defined as a number proportional to direction cosine is calculated using direction_ratio_2 = (Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 3*z coordinate in 3D space)/(y coordinate in 3D space). To calculate direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point, you need Perpendicular Distance (d), constant coefficient of plane (p), Direction ratio 1 (d1), x coordinate in 3D space (x), Direction ratio 3 (d3), z coordinate in 3D space (z) and y coordinate in 3D space (y). With our tool, you need to enter the respective value for Perpendicular Distance, constant coefficient of plane, Direction ratio 1, x coordinate in 3D space, Direction ratio 3, z coordinate in 3D space and y 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 2?
In this formula, Direction ratio 2 uses Perpendicular Distance, constant coefficient of plane, Direction ratio 1, x coordinate in 3D space, Direction ratio 3, z coordinate in 3D space and y coordinate in 3D space. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • direction_ratio_2 = (y2 coordinate in 3D space-y1 coordinate in 3D space)/Length
  • direction_ratio_2 = sqrt((((constant coefficient of plane2- constant coefficient of plane)/Length)^2)- (Direction ratio 1)^2-(Direction ratio 3)^2)
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