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

Properties#

Operation

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

Add:: The sum of A and B. $(\begin{matrix} A_{x} + B_{x} \\ A_{y} + B_{y} \\ A_{z} + B_{z} \end{matrix})$
Subtract:: The difference between A and B. $(\begin{matrix} A_{x} - B_{x} \\ A_{y} - B_{y} \\ A_{z} - B_{z} \end{matrix})$
Multiply:: The entrywise product of A and B. $(\begin{matrix} A_{x} \cdot B_{x} \\ A_{y} \cdot B_{y} \\ A_{z} \cdot B_{z} \end{matrix})$
Divide:: The entrywise division of A by B. Division by zero results in zero. $(\begin{matrix} A_{x} / B_{x} \\ A_{y} / B_{y} \\ A_{z} / B_{z} \end{matrix})$
Multiply Add:: The entrywise combination of the multiply and addition operations. $A \times B + C$
Cross Product:: The cross product of A and B. $(\begin{matrix} A_{y} \cdot B_{z} - A_{z} \cdot B_{y} \\ A_{z} \cdot B_{x} - A_{x} \cdot B_{z} \\ A_{x} \cdot B_{y} - A_{y} \cdot B_{x} \end{matrix})$
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 $(d o t (B, C) < 0) ? A : - A$ .
Dot Product:: The dot product of A and B. $A_{x} \cdot B_{x} + A_{y} \cdot B_{y} + A_{z} \cdot B_{z}$
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. $(\begin{matrix} s \cdot A_{x} \\ s \cdot A_{y} \\ s \cdot A_{z} \end{matrix})$
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.