addScaledOuterProductInPlace Method

Add scaled values from an outer product of vectors U and V.

  • The scaled outer product is a matrix with rank 1 (all columns/rows are linearly dependent).
  • This is useful in constructing mirrors and directional scales.
    A+=s[UxUyUz][Vx Vy Vz][Axx Axy AxzAyx Ayy AyzAzx Azy Azz]+=s[UxVxUxVyUxVzUyVxUyVyUyVzUzVxUzVyUzVz]A += s \columnSubXYZ{U}\rowSubXYZ{V}
    \\ \matrixXY{A} += s \begin{bmatrix}
    U_x * V_x & U_x * V_y & U_x * V_z \\
    U_y * V_x & U_y * V_y & U_y * V_z \\
    U_z * V_x & U_z * V_y & U_z * V_z \end{bmatrix}

addScaledOuterProductInPlace(vectorU: Vector3d, vectorV: Vector3d, scale: number): void

Parameter Type Description
vectorU Vector3d first vector in the outer product.
vectorV Vector3d second vector in the outer product.
scale number scale factor to apply to the added values.

Returns - void

Defined in

Last Updated: 21 November, 2024