Nút Toán Vectơ -- Vector Math Node¶
Vector Math Node.¶
The Vector Math node performs the selected math operation on the input vectors.
Đầu Vào -- 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.
- Vectơ -- Vector
Input vector \(A = \begin{pmatrix} A_x \\ A_y \\ A_z \end{pmatrix}\).
- Vectơ -- Vector
Input vector \(B = \begin{pmatrix} B_x \\ B_y \\ B_z \end{pmatrix}\).
- Scale
Input Scale \(s\).
Tính Chất -- Properties¶
- Thao Tác -- Operation
The vector math operator to be applied on the input vectors.
- Cộng Thêm -- Add
The sum of A and B. \(\begin{pmatrix} A_x + B_x \\ A_y + B_y \\ A_z + B_z \end{pmatrix}\)
- Trừ Khấu -- 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. \(\begin{pmatrix} A_x / B_x \\ A_y / B_y \\ A_z / B_z \end{pmatrix}\)
- Tích có Hướng -- 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.
- Tích Vô Hướng -- 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. \(\begin{pmatrix} s \cdot A_x \\ s \cdot A_y \\ s \cdot A_z \end{pmatrix}\)
- Bình Thường Hóa -- 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
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
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.
Đầu Ra -- 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.
- Vectơ -- Vector
Output vector.
- Giá Trị -- Value
Output value.