Nút Toán Vectơ (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.

Véctơ (Vector): Input vector \(A = \begin{pmatrix} A_x \\ A_y \\ A_z \end{pmatrix}\).
Véctơ (Vector): Input vector \(B = \begin{pmatrix} B_x \\ B_y \\ B_z \end{pmatrix}\).
Tỷ Lệ (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 (Subtract): The difference between A and B. \(\begin{pmatrix} A_x - B_x \\ A_y - B_y \\ A_z - B_z \end{pmatrix}\)
Nhân (Multiply): The entrywise product of A and B. \(\begin{pmatrix} A_x \cdot B_x \\ A_y \cdot B_y \\ A_z \cdot B_z \end{pmatrix}\)
Chia (Divide): The entrywise division of A by B. Division by zero results in zero. \(\begin{pmatrix} A_x / B_x \\ A_y / B_y \\ A_z / B_z \end{pmatrix}\)
Nhân Cộng (Multiply Add): The entrywise combination of the multiply and addition operations. \(A * B + C\)
Tích Hữu Hướng (Cross Product): The cross product of A and B. \(\begin{pmatrix} A_y \cdot B_z - A_z \cdot B_y \\ A_z \cdot B_x - A_x \cdot B_z \\ A_x \cdot B_y - A_y \cdot B_x \end{pmatrix}\)
Phóng Chiếu (Project): The projection of A onto B.
Phản Ảnh (Reflect): The reflection of A around the normal B. B need not be normalized.
Khúc Xạ (Refract): For a given incident vector A, surface normal B and ratio of indices of refraction (IOR), refract outputs the refraction vector R.
Đối Mặt về Phía Trước (Faceforward): Orients a vector A to point away from a surface B as defined by its normal C. Computes \((dot(B, C) < 0) ? A : -A\).
Tích Vô Hướng (Dot Product): The dot product of A and B. \(A_x \cdot B_x + A_y \cdot B_y + A_z \cdot B_z\)
Khoảng Cách (Distance): The distance between A and B.
Chiều Dài (Length): The length of A. \(\sqrt{A_x^2 + A_y^2 + A_z^2}\)
Tỷ Lệ (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.
Nhắc Lại/Đảo Chiều (Wrap): Wrap.
Bám Dính (Snap): The result of rounding A to the largest integer multiple of B less than or equal A.
Sàn/Nền Nhà (Floor): The entrywise floor of A.
Làm Tròn Lên (Ceil): The entrywise ceiling of A.
Chia Lấy Số Dư/Modulo (Modulo): The entrywise modulo of A by B.
Phân Số (Fraction): The fractional part of A.
Tuyệt Đối (Absolute): The entrywise absolute value of A.
Tối Thiểu (Minimum): The entrywise minimum from A and B.
Tối Đa (Maximum): The entrywise maximum from A and B.
Sin (Sine): The entrywise Sine of A.
Cos (Cosine): The entrywise Cosine of A.
Tangent (Tiếp Tuyến): 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.

Véctơ (Vector): Output vector.
Value (Giá Trị): Giá trị Đầu Ra/xuất ngoại/kết quả.