Length Node
Access: Nodes > Math > Length
The Length node takes an input vector and outputs the length (or magnitude) of the vector. The following formula is used to calculate the length of the vector:
                                                         
                                                    
Where  is the vector [
 is the vector [ x
x y
y  z
z  w] and
w] and  is the length of the vector.
 is the length of the vector.
The output is a vector and the alpha channel always has a value of 1.0. Therefore the output is in the format:
[ 
                                                         
  
  1 ]
 1 ]
Tip: For more information on the vector length equation solution, see the Vector Magnitude Calculator by OnlineMSchool.
Length Node Examples
| Input | Calculation | Output | 
|  = [  R  G  B  A] = [3 1 2 0] |   | 
                                                                         [3.742 3.742 3.742 1.0] | 
| 
                                                                         |   | 
                                                                         [11.885 11.885 11.885 1.0] | 
| 
                                                                         |   | 
                                                                         [28.390 28.390 28.390 1.0] | 
Length Node Inputs
| Input | The vector to calculate the length of. 
                                                                         | 
Length Node Outputs
| Outputs | The length of the vector. 
                                                                         | 
Length Node Properties
| R checkbox | When checked, the red component is included in the length calculation. | 
| G checkbox | When checked, the green component is included in the length calculation. | 
| B checkbox | When checked, the blue component is included in the length calculation. | 
| A checkbox | When checked, the alpha component is included in the length calculation. Note: When the alpha is checked, its value is included in the length calculation however the alpha output will always be 1.0. | 
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