Nút Toán Vectơ
Nút Toán Vectơ.
The Vector Math node performs the selected math operation on the input vectors.
Đầu Vào
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
Input vector \(A = \begin{pmatrix} A_x \\ A_y \\ A_z \end{pmatrix}\).
- Véctơ
Input vector \(B = \begin{pmatrix} B_x \\ B_y \\ B_z \end{pmatrix}\).
- Tỷ Lệ
Input Scale \(s\).
Tính Chất
- Thao Tác
The vector math operator to be applied on the input vectors.
- Cộng Thêm
The sum of A and B. \(\begin{pmatrix} A_x + B_x \\ A_y + B_y \\ A_z + B_z \end{pmatrix}\)
- Trừ
The difference between A and B. \(\begin{pmatrix} A_x - B_x \\ A_y - B_y \\ A_z - B_z \end{pmatrix}\)
- Nhân
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
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
The entrywise combination of the multiply and addition operations. \(A * B + C\)
- Tích Hữu Hướng
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
The projection of A onto B.
- Phản Ảnh
The reflection of A around the normal B. B need not be normalized.
- Khúc Xạ
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
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
The dot product of A and B. \(A_x \cdot B_x + A_y \cdot B_y + A_z \cdot B_z\)
- Khoảng Cách
The distance between A and B.
- Chiều Dài
The length of A. \(\sqrt{A_x^2 + A_y^2 + A_z^2}\)
- Tỷ Lệ
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
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.
- Bám Dính
The result of rounding A to the largest integer multiple of B less than or equal A.
- Sàn/Floor
The entrywise floor of A.
- Làm Tròn Lên
The entrywise ceiling of A.
- Chia Lấy Số Dư/Modulo
The entrywise modulo of A by B.
- Phân Số
The fractional part of A.
- Tuyệt Đối
The entrywise absolute value of A.
- Tối Thiểu
The entrywise minimum from A and B.
- Tối Đa
The entrywise maximum from A and B.
- Sin
The entrywise Sine of A.
- Cos
The entrywise Cosine of A.
- Tiếp Tuyến
The entrywise Tangent of A.
Đầu Ra
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
Output vector.
- Giá Trị
Giá trị Đầu Ra/xuất ngoại/kết quả.