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 [_{x}_{y} _{z} _{w}] and 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 ]
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 3.742 1.0] 

= [ _{R}_{G} _{B} _{A}] = [10 5 4 0.5] 
= 11.885 [11.885 11.885 11.885 1.0] 

= [ _{R}_{G} _{B} _{A}] = [12 25 6 1] 
= 28.390 [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. 