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 [_{xy 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
= [ RG B A] = [3 1 2 0]		= 3.742 [3.742 3.742 3.742 1.0]
= [ RG B A] = [10 5 4 0.5]		= 11.885 [11.885 11.885 11.885 1.0]
= [ RG 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.

Related Nodes

• Modulo Node

• Vector Dot Node

• Vector Node