outerProduct

mat3 outerProduct(vec3 c, vec3 r);

Function

Computes the outer product between two vectors, which is a matrix.

Parameters

• c - The column vector (vec3) to be used for the outer product.
• r - The row vector (vec3) to be used for the outer product.

Return

• mat3 - A 3x3 matrix resulting from the outer product between c and r.

Description

The outer product between two vectors is defined as follows:

outerProduct(c, r) = [c.x * r.x, c.x * r.y, c.x * r.z;
                      c.y * r.x, c.y * r.y, c.y * r.z;
                      c.z * r.x, c.z * r.y, c.z * r.z]

This function allows creating a matrix from two vectors by using one as the column and the other as the row.

Example

vec3 c = vec3(1.0, 2.0, 3.0);
vec3 r = vec3(4.0, 5.0, 6.0);
mat3 m = outerProduct(c, r);

This will create a matrix m with the following values:

m = [  4.0,  5.0,  6.0;
      8.0, 10.0, 12.0;
     12.0, 15.0, 18.0 ]

See Also

• GLSL mat3 type
• GLSL vec3 type