Vector Math Node#

The Vector Math node performs the selected math operation on the input vectors.

Entradas#

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 $A = (\begin{matrix} A_{x} \\ A_{y} \\ A_{z} \end{matrix})$ .
Vector: Input vector $B = (\begin{matrix} B_{x} \\ B_{y} \\ B_{z} \end{matrix})$ .
Escala: Input Scale $s$ .

Propiedades#

Operación

The vector math operator to be applied on the input vectors.

Agregar:: The sum of A and B. $(\begin{matrix} A_{x} + B_{x} \\ A_{y} + B_{y} \\ A_{z} + B_{z} \end{matrix})$
Sustraer:: The difference between A and B. $(\begin{matrix} A_{x} - B_{x} \\ A_{y} - B_{y} \\ A_{z} - B_{z} \end{matrix})$
Multiplicar:: The entrywise product of A and B. $(\begin{matrix} A_{x} \cdot B_{x} \\ A_{y} \cdot B_{y} \\ A_{z} \cdot B_{z} \end{matrix})$
Dividir:: The entrywise division of A by B. Division by zero results in zero. $(\begin{matrix} A_{x} / B_{x} \\ A_{y} / B_{y} \\ A_{z} / B_{z} \end{matrix})$
Multiplicar Adicionando:: The entrywise combination of the multiply and addition operations. $A \times B + C$
Cross Product:: The cross product of A and B. $(\begin{matrix} A_{y} \cdot B_{z} - A_{z} \cdot B_{y} \\ A_{z} \cdot B_{x} - A_{x} \cdot B_{z} \\ A_{x} \cdot B_{y} - A_{y} \cdot B_{x} \end{matrix})$
Proyectar:: 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 $(d o t (B, C) < 0) ? A : - A$ .
Dot Product:: The dot product of A and B. $A_{x} \cdot B_{x} + A_{y} \cdot B_{y} + A_{z} \cdot B_{z}$
Distancia:: The distance between A and B.
Longitud:: The length of A. $\sqrt{A_{x}^{2} + A_{y}^{2} + A_{z}^{2}}$
Escala:: The result of multiplying A by the scalar input Scale. $(\begin{matrix} s \cdot A_{x} \\ s \cdot A_{y} \\ s \cdot A_{z} \end{matrix})$
Normalizar:: 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.
Envolver:: 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.
Adherir:: The result of rounding A to the largest integer multiple of B less than or equal A.
Piso:: Rounds the input value entrywise down to the nearest integer.
Techo:: Rounds the input value entrywise up to the nearest integer.
Módulo:: The entrywise modulo of A by B.
Fracción:: Returns the fractional part of the value entrywise.
Absoluto:: The entrywise absolute value of A.
Mínimo:: The entrywise minimum value from A and B.
Máximo:: The entrywise maximum value from A and B.
Seno:: The entrywise Sine of A.
Coseno:: The entrywise Cosine of A.
Tangente:: The entrywise Tangent of A.

Salidas#

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.
Valor: Output value.