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Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular Solution

STEP 0: Pre-Calculation Summary
Formula Used
direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis)
m1 = -((l1*l2)-(n1*n2))/(m2)
This formula uses 5 Variables
Variables Used
Direction cosine 1 with respect to x axis - Direction cosine 1 with respect to x axis is the cosine of angle made by a line w.r.to x axis. (Measured in Hundred)
Direction cosine 2 with respect to x axis - Direction cosine 2 with respect to x axis is the cosine of angle made by a line w.r.to x axis. (Measured in Hundred)
Direction cosine 1 with respect to z axis - Direction cosine 1 with respect to z axis is the cosine of angle made by a line w.r.to z axis. (Measured in Hundred)
Direction cosine 2 with respect to z axis - Direction cosine 2 with respect to z axis is the cosine of angle made by a line w.r.to z axis. (Measured in Hundred)
Direction cosine 2 with respect to y axis - Direction cosine 2 with respect to y axis is the cosine of angle made by a line w.r.to y axis. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Direction cosine 1 with respect to x axis: 0.7 Hundred --> 0.7 Hundred No Conversion Required
Direction cosine 2 with respect to x axis: 0.7 Hundred --> 0.7 Hundred No Conversion Required
Direction cosine 1 with respect to z axis: 0.6 Hundred --> 0.6 Hundred No Conversion Required
Direction cosine 2 with respect to z axis: 0.6 Hundred --> 0.6 Hundred No Conversion Required
Direction cosine 2 with respect to y axis: 0.6 Hundred --> 0.6 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m1 = -((l1*l2)-(n1*n2))/(m2) --> -((0.7*0.7)-(0.6*0.6))/(0.6)
Evaluating ... ...
m1 = -0.216666666666667
STEP 3: Convert Result to Output's Unit
-0.216666666666667 Hundred --> No Conversion Required
FINAL ANSWER
-0.216666666666667 Hundred <-- Direction cosine 1 with respect to y axis
(Calculation completed in 00.016 seconds)

10+ Direction cosine of Plane in 3D Space Calculators

Direction cosine of plane1 with x axis given plane1 and 2 are perpendicular
direction_cosine_1_with_respect_to_x_axis = -((Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to x axis) Go
Direction cosine of plane2 with x axis given plane1 and 2 are perpendicular
direction_cosine_2_with_respect_to_x_axis = -((Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 1 with respect to x axis) Go
Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular
direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis) Go
Direction cosine of plane2 with y axis given plane1 and 2 are perpendicular
direction_cosine_2_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 1 with respect to y axis) Go
Direction cosine of plane1 with z axis given plane1 and 2 are perpendicular
direction_cosine_1_with_respect_to_z_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis))/(Direction cosine 2 with respect to z axis) Go
Direction cosine of plane2 with z axis given plane1 and 2 are perpendicular
direction_cosine_2_with_respect_to_z_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis))/(Direction cosine 1 with respect to z axis) Go
Direction cosine of plane1 with x axis given plane1,2 are parallel and direction cosines with y axis
direction_cosine_1_with_respect_to_x_axis = (Direction cosine 1 with respect to y axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to y axis) Go
Direction cosine of plane2 with x axis given plane1,2 are parallel and direction cosines with y axis
direction_cosine_2_with_respect_to_x_axis = (Direction cosine 1 with respect to x axis* Direction cosine 2 with respect to y axis)/ (Direction cosine 1 with respect to y axis) Go
Direction cosine of plane1 with x axis given plane1,2 are parallel and direction cosines with z axis
direction_cosine_1_with_respect_to_x_axis = (Direction cosine 1 with respect to z axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to z axis) Go
Direction cosine of plane2 with x axis given plane1,2 are parallel and direction cosines with z axis
direction_cosine_2_with_respect_to_x_axis = (Direction cosine 1 with respect to x axis* Direction cosine 2 with respect to z axis)/ (Direction cosine 1 with respect to z axis) Go

Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular Formula

direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis)
m1 = -((l1*l2)-(n1*n2))/(m2)

What is direction cosine in coordinate system?

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 cosine of plane1 with y axis given plane1 and 2 are perpendicular?

Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular calculator uses direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis) to calculate the Direction cosine 1 with respect to y axis, Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular formula is defined as cosine of angle formed by 2 planes. Direction cosine 1 with respect to y axis and is denoted by m1 symbol.

How to calculate Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular using this online calculator? To use this online calculator for Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular, enter Direction cosine 1 with respect to x axis (l1), Direction cosine 2 with respect to x axis (l2), Direction cosine 1 with respect to z axis (n1), Direction cosine 2 with respect to z axis (n2) & Direction cosine 2 with respect to y axis (m2) and hit the calculate button. Here is how the Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular calculation can be explained with given input values -> -0.216667 = -((0.7*0.7)-(0.6*0.6))/(0.6).

FAQ

What is Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular?
Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular formula is defined as cosine of angle formed by 2 planes and is represented as m1 = -((l1*l2)-(n1*n2))/(m2) or direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis). Direction cosine 1 with respect to x axis is the cosine of angle made by a line w.r.to x axis, Direction cosine 2 with respect to x axis is the cosine of angle made by a line w.r.to x axis, Direction cosine 1 with respect to z axis is the cosine of angle made by a line w.r.to z axis, Direction cosine 2 with respect to z axis is the cosine of angle made by a line w.r.to z axis & Direction cosine 2 with respect to y axis is the cosine of angle made by a line w.r.to y axis.
How to calculate Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular?
Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular formula is defined as cosine of angle formed by 2 planes is calculated using direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis). To calculate Direction cosine of plane1 with y axis given plane1 and 2 are perpendicular, you need Direction cosine 1 with respect to x axis (l1), Direction cosine 2 with respect to x axis (l2), Direction cosine 1 with respect to z axis (n1), Direction cosine 2 with respect to z axis (n2) & Direction cosine 2 with respect to y axis (m2). With our tool, you need to enter the respective value for Direction cosine 1 with respect to x axis, Direction cosine 2 with respect to x axis, Direction cosine 1 with respect to z axis, Direction cosine 2 with respect to z axis & Direction cosine 2 with respect to y axis 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 cosine 1 with respect to y axis?
In this formula, Direction cosine 1 with respect to y axis uses Direction cosine 1 with respect to x axis, Direction cosine 2 with respect to x axis, Direction cosine 1 with respect to z axis, Direction cosine 2 with respect to z axis & Direction cosine 2 with respect to y axis. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • direction_cosine_1_with_respect_to_x_axis = -((Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to x axis)
  • direction_cosine_2_with_respect_to_x_axis = -((Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 1 with respect to x axis)
  • direction_cosine_1_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to y axis)
  • direction_cosine_2_with_respect_to_y_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 1 with respect to y axis)
  • direction_cosine_1_with_respect_to_z_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis))/(Direction cosine 2 with respect to z axis)
  • direction_cosine_2_with_respect_to_z_axis = -((Direction cosine 1 with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine 1 with respect to y axis*Direction cosine 2 with respect to y axis))/(Direction cosine 1 with respect to z axis)
  • direction_cosine_1_with_respect_to_x_axis = (Direction cosine 1 with respect to y axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to y axis)
  • direction_cosine_2_with_respect_to_x_axis = (Direction cosine 1 with respect to x axis* Direction cosine 2 with respect to y axis)/ (Direction cosine 1 with respect to y axis)
  • direction_cosine_1_with_respect_to_x_axis = (Direction cosine 1 with respect to z axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to z axis)
  • direction_cosine_2_with_respect_to_x_axis = (Direction cosine 1 with respect to x axis* Direction cosine 2 with respect to z axis)/ (Direction cosine 1 with respect to z axis)
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