Vector Math Node

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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 \(A = \begin{pmatrix} A_x \\ A_y \\ A_z \end{pmatrix}\).

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 (Agregar)

The sum of A and B. \(\begin{pmatrix} A_x + B_x \\ A_y + B_y \\ A_z + B_z \end{pmatrix}\)

Subtract (Resta)

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

Wrap.

Snap

The result of rounding A to the largest integer multiple of B less than or equal A.

Floor (Suelo)

The entrywise floor of A.

Ceil

The entrywise ceiling of A.

Modulo

The entrywise modulo of A by B.

Fraction

The fractional part of A.

Absolute (Absoluto)

The entrywise absolute value of A.

Minimum

The entrywise minimum from A and B.

Maximum

The entrywise maximum from A and B.

Sine

The entrywise Sine of A.

Cosine

The entrywise Cosine of A.

Tangent

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.

Value

Output value.