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Direction ratio given projection of line on z axis and length of line Calculator

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✖Z2 Coordinate in 3D Space is a point on z axis in 3 dimensional space corresponding to point Q.ⓘ Z2 Coordinate in 3D Space [Z2]
+10%
-10%
✖Z1 Coordinate in 3D Space is a point on z axis in 3 dimensional space corresponding to point P.ⓘ Z1 Coordinate in 3D Space [Z1]
+10%
-10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]
+10%
-10%
✖Direction Ratio 3 is ratio proportional to direction cosine w.r.to z axis.ⓘ Direction ratio given projection of line on z axis and length of line [c3]
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Credits

Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
Shashwati Tidke
Vishwakarma Institute of Technology (VIT), Pune
Shashwati Tidke has verified this Calculator and 100+ more calculators!

Direction ratio given projection of line on z axis and length of line Solution

STEP 0: Pre-Calculation Summary
Formula Used
direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length
c3 = (Z2-Z1)/L
This formula uses 3 Variables
Variables Used
Z2 Coordinate in 3D Space - Z2 Coordinate in 3D Space is a point on z axis in 3 dimensional space corresponding to point Q. (Measured in Hundred)
Z1 Coordinate in 3D Space - Z1 Coordinate in 3D Space is a point on z axis in 3 dimensional space corresponding to point P. (Measured in Hundred)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Z2 Coordinate in 3D Space: 5 Hundred --> 5 Hundred No Conversion Required
Z1 Coordinate in 3D Space: 2 Hundred --> 2 Hundred No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c3 = (Z2-Z1)/L --> (5-2)/3
Evaluating ... ...
c3 = 1
STEP 3: Convert Result to Output's Unit
1 Hundred --> No Conversion Required
FINAL ANSWER
1 Hundred <-- Direction Ratio 3
(Calculation completed in 00.016 seconds)
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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 given projection of line on z axis and length of line Formula

direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length
c3 = (Z2-Z1)/L

What is coordinate system in 3D space?

The three mutually perpendicular lines in a space which divides the space into eight parts and if these perpendicular lines are the coordinate axes, then it is said to be a coordinate system.

How to Calculate Direction ratio given projection of line on z axis and length of line?

Direction ratio given projection of line on z axis and length of line calculator uses direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length to calculate the Direction Ratio 3, Direction ratio given projection of line on z axis and length of line is defined as numbers that are proportional to the direction cosines. Direction Ratio 3 and is denoted by c3 symbol.

How to calculate Direction ratio given projection of line on z axis and length of line using this online calculator? To use this online calculator for Direction ratio given projection of line on z axis and length of line, enter Z2 Coordinate in 3D Space (Z2), Z1 Coordinate in 3D Space (Z1) & Length (L) and hit the calculate button. Here is how the Direction ratio given projection of line on z axis and length of line calculation can be explained with given input values -> 1 = (5-2)/3.

FAQ

What is Direction ratio given projection of line on z axis and length of line?
Direction ratio given projection of line on z axis and length of line is defined as numbers that are proportional to the direction cosines and is represented as c3 = (Z2-Z1)/L or direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length. Z2 Coordinate in 3D Space is a point on z axis in 3 dimensional space corresponding to point Q, Z1 Coordinate in 3D Space is a point on z axis in 3 dimensional space corresponding to point P & Length is the measurement or extent of something from end to end.
How to calculate Direction ratio given projection of line on z axis and length of line?
Direction ratio given projection of line on z axis and length of line is defined as numbers that are proportional to the direction cosines is calculated using direction_ratio_3 = (Z2 Coordinate in 3D Space-Z1 Coordinate in 3D Space)/Length. To calculate Direction ratio given projection of line on z axis and length of line, you need Z2 Coordinate in 3D Space (Z2), Z1 Coordinate in 3D Space (Z1) & Length (L). With our tool, you need to enter the respective value for Z2 Coordinate in 3D Space, Z1 Coordinate in 3D Space & Length 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 3?
In this formula, Direction Ratio 3 uses Z2 Coordinate in 3D Space, Z1 Coordinate in 3D Space & Length. 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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