Vector Math Node#
The Vector Math node performs the selected math operation on the input vectors.
Inputs#
The inputs of the node are dynamic. Some inputs are only available in certain operations. For instance, the Scale input is only available in the Scale operator.
- Vector
Input vector \(A = \begin{pmatrix} A_x \\ A_y \\ A_z \end{pmatrix}\).
- Vector
Input vector \(B = \begin{pmatrix} B_x \\ B_y \\ B_z \end{pmatrix}\).
- Scale
Input Scale \(s\).
Properties#
- Operation
The vector math operator to be applied on the input vectors.
- Add:
The sum of A and B. \(\begin{pmatrix} A_x + B_x \\ A_y + B_y \\ A_z + B_z \end{pmatrix}\)
- Subtract:
The difference between A and B. \(\begin{pmatrix} A_x - B_x \\ A_y - B_y \\ A_z - B_z \end{pmatrix}\)
- Multiply:
The entrywise product of A and B. \(\begin{pmatrix} A_x \cdot B_x \\ A_y \cdot B_y \\ A_z \cdot B_z \end{pmatrix}\)
- Divide:
The entrywise division of A by B. Division by zero results in zero. \(\begin{pmatrix} A_x / B_x \\ A_y / B_y \\ A_z / B_z \end{pmatrix}\)
- Multiply Add:
The entrywise combination of the multiply and addition operations. \(A × B + C\)
- Cross Product:
The cross product of A and B. \(\begin{pmatrix} A_y \cdot B_z - A_z \cdot B_y \\ A_z \cdot B_x - A_x \cdot B_z \\ A_x \cdot B_y - A_y \cdot B_x \end{pmatrix}\)
- Project:
The projection of A onto B.
- Reflect:
The reflection of A around the normal B. B need not be normalized.
- Refract:
For a given incident vector A, surface normal B and ratio of indices of refraction (IOR), refract outputs the refraction vector R.
- Faceforward:
Orients a vector A to point away from a surface B as defined by its normal C. Computes \((dot(B, C) < 0) ? A : -A\).
- Dot Product:
The dot product of A and B. \(A_x \cdot B_x + A_y \cdot B_y + A_z \cdot B_z\)
- Distance:
The distance between A and B.
- Length:
The length of A. \(\sqrt{A_x^2 + A_y^2 + A_z^2}\)
- Scale:
The result of multiplying A by the scalar input Scale. \(\begin{pmatrix} s \cdot A_x \\ s \cdot A_y \\ s \cdot A_z \end{pmatrix}\)
- Normalize:
The result of normalizing A. The result vector points to the same direction as A and has a length of 1. If A is (0, 0, 0), the result is (0, 0, 0) as well.
- Wrap:
The entrywise output of a value between Min and Max based on the absolute difference between the input value and the nearest integer multiple of Max less than the value.
- Snap:
The result of rounding A to the largest integer multiple of B less than or equal A.
- Floor:
Rounds the input value entrywise down to the nearest integer.
- Ceil:
Rounds the input value entrywise up to the nearest integer.
- Modulo:
The entrywise modulo of A by B.
- Fraction:
Returns the fractional part of the value entrywise.
- Absolute:
The entrywise absolute value of A.
- Minimum:
The entrywise minimum value from A and B.
- Maximum:
The entrywise maximum value from A and B.
- Sine:
The entrywise Sine of A.
- Cosine:
The entrywise Cosine of A.
- Tangent:
The entrywise Tangent of A.
Outputs#
The output of the node is dynamic. It is either a vector or a scalar depending on the operator. For instance, the Length operator has a scalar output while the Add operator has a vector output.
- Vector
Output vector.
- Value
Output value.