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 $$B = \begin{pmatrix} B_x \\ B_y \\ B_z \end{pmatrix}$$.

축척(Scale)

Input Scale $$s$$.

특성

Operation

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

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. $$\begin{pmatrix} A_x / B_x \\ A_y / B_y \\ A_z / B_z \end{pmatrix}$$

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. $$\sqrt{A_x^2 + A_y^2 + A_z^2}$$

축척(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.

값(value)

Output value.