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## Direction cosine of line with z axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
direction_cosine_with_respect_to_z_axis = cos(Angle C)
n = cos(∠C)
This formula uses 1 Functions, 1 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Angle C - The angle C is the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Angle C: 220 Degree --> 3.8397243543868 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = cos(∠C) --> cos(3.8397243543868)
Evaluating ... ...
n = -0.766044443119444
STEP 3: Convert Result to Output's Unit
-0.766044443119444 Hundred --> No Conversion Required
-0.766044443119444 Hundred <-- Direction cosine with respect to z axis
(Calculation completed in 00.000 seconds)

## < 9 Direction cosine of line in 3D Space Calculators

Direction cosine of line 2 with x axis given angle between line 1 and 2
direction_cosine_2_with_respect_to_x_axis = (cos(Angle A)-(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 line 1 with x axis given angle between line 1 and 2
direction_cosine_1_with_respect_to_x_axis = (cos(Angle A)-(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 line 2 with y axis given angle between line 1 and 2
direction_cosine_2_with_respect_to_y_axis = cos(Angle A)-(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 line 2 with z axis given angle between line 1 and 2
direction_cosine_2_with_respect_to_z_axis = cos(Angle A)-(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 line 1 with z axis given angle between line 1 and 2
direction_cosine_1_with_respect_to_z_axis = cos(Angle A)-(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 line 1 with y axis given angle between line 1 and 2
direction_cosine_1_with_respect_to_y_axis = cos(Angle A)-(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 line with z axis
direction_cosine_with_respect_to_z_axis = cos(Angle C) Go
Direction cosine of line with x axis
direction_cosine_with_respect_to_x_axis = cos(Angle A) Go
Direction cosine of line with y axis
direction_cosine_with_respect_to_y_axis = cos(Angle B) Go

### Direction cosine of line with z axis Formula

direction_cosine_with_respect_to_z_axis = cos(Angle C)
n = cos(∠C)

## 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 cosine of line with z axis?

Direction cosine of line with z axis calculator uses direction_cosine_with_respect_to_z_axis = cos(Angle C) to calculate the Direction cosine with respect to z axis, Direction cosine of line with z axis is defined as cosine of angle made by a line with coordinate axis z. Direction cosine with respect to z axis and is denoted by n symbol.

How to calculate Direction cosine of line with z axis using this online calculator? To use this online calculator for Direction cosine of line with z axis, enter Angle C (∠C) and hit the calculate button. Here is how the Direction cosine of line with z axis calculation can be explained with given input values -> -0.766044 = cos(3.8397243543868).

### FAQ

What is Direction cosine of line with z axis?
Direction cosine of line with z axis is defined as cosine of angle made by a line with coordinate axis z and is represented as n = cos(∠C) or direction_cosine_with_respect_to_z_axis = cos(Angle C). The angle C is the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Direction cosine of line with z axis?
Direction cosine of line with z axis is defined as cosine of angle made by a line with coordinate axis z is calculated using direction_cosine_with_respect_to_z_axis = cos(Angle C). To calculate Direction cosine of line with z axis, you need Angle C (∠C). With our tool, you need to enter the respective value for Angle C 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 with respect to z axis?
In this formula, Direction cosine with respect to z axis uses Angle C. We can use 9 other way(s) to calculate the same, which is/are as follows -
• direction_cosine_with_respect_to_z_axis = cos(Angle C)
• direction_cosine_with_respect_to_x_axis = cos(Angle A)
• direction_cosine_2_with_respect_to_x_axis = (cos(Angle A)-(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_x_axis = (cos(Angle A)-(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_z_axis = cos(Angle A)-(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_2_with_respect_to_y_axis = cos(Angle A)-(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 = cos(Angle A)-(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_1_with_respect_to_y_axis = cos(Angle A)-(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_with_respect_to_y_axis = cos(Angle B)
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